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Simplifying 3[2(3x + 2) + -4(2x + -5)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Reorder the terms: 3[2(2 + 3x) + -4(2x + -5)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) 3[(2 * 2 + 3x * 2) + -4(2x + -5)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) 3[(4 + 6x) + -4(2x + -5)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Reorder the terms: 3[4 + 6x + -4(-5 + 2x)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) 3[4 + 6x + (-5 * -4 + 2x * -4)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) 3[4 + 6x + (20 + -8x)] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Reorder the terms: 3[4 + 20 + 6x + -8x] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Combine like terms: 4 + 20 = 24 3[24 + 6x + -8x] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Combine like terms: 6x + -8x = -2x 3[24 + -2x] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) [24 * 3 + -2x * 3] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) [72 + -6x] + -2(3x + 1) = 4(x + 1) + -2(3x + 5) Reorder the terms: 72 + -6x + -2(1 + 3x) = 4(x + 1) + -2(3x + 5) 72 + -6x + (1 * -2 + 3x * -2) = 4(x + 1) + -2(3x + 5) 72 + -6x + (-2 + -6x) = 4(x + 1) + -2(3x + 5) Reorder the terms: 72 + -2 + -6x + -6x = 4(x + 1) + -2(3x + 5) Combine like terms: 72 + -2 = 70 70 + -6x + -6x = 4(x + 1) + -2(3x + 5) Combine like terms: -6x + -6x = -12x 70 + -12x = 4(x + 1) + -2(3x + 5) Reorder the terms: 70 + -12x = 4(1 + x) + -2(3x + 5) 70 + -12x = (1 * 4 + x * 4) + -2(3x + 5) 70 + -12x = (4 + 4x) + -2(3x + 5) Reorder the terms: 70 + -12x = 4 + 4x + -2(5 + 3x) 70 + -12x = 4 + 4x + (5 * -2 + 3x * -2) 70 + -12x = 4 + 4x + (-10 + -6x) Reorder the terms: 70 + -12x = 4 + -10 + 4x + -6x Combine like terms: 4 + -10 = -6 70 + -12x = -6 + 4x + -6x Combine like terms: 4x + -6x = -2x 70 + -12x = -6 + -2x Solving 70 + -12x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 70 + -12x + 2x = -6 + -2x + 2x Combine like terms: -12x + 2x = -10x 70 + -10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 70 + -10x = -6 + 0 70 + -10x = -6 Add '-70' to each side of the equation. 70 + -70 + -10x = -6 + -70 Combine like terms: 70 + -70 = 0 0 + -10x = -6 + -70 -10x = -6 + -70 Combine like terms: -6 + -70 = -76 -10x = -76 Divide each side by '-10'. x = 7.6 Simplifying x = 7.6
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