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Simplifying 3[3(x + 5) + 8x + 7] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) Reorder the terms: 3[3(5 + x) + 8x + 7] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) 3[(5 * 3 + x * 3) + 8x + 7] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) 3[(15 + 3x) + 8x + 7] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) Reorder the terms: 3[15 + 7 + 3x + 8x] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) Combine like terms: 15 + 7 = 22 3[22 + 3x + 8x] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) Combine like terms: 3x + 8x = 11x 3[22 + 11x] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) [22 * 3 + 11x * 3] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) [66 + 33x] + 5[3(x + -6) + -2(3x + -5)] = 2(4x + 3) Reorder the terms: 66 + 33x + 5[3(-6 + x) + -2(3x + -5)] = 2(4x + 3) 66 + 33x + 5[(-6 * 3 + x * 3) + -2(3x + -5)] = 2(4x + 3) 66 + 33x + 5[(-18 + 3x) + -2(3x + -5)] = 2(4x + 3) Reorder the terms: 66 + 33x + 5[-18 + 3x + -2(-5 + 3x)] = 2(4x + 3) 66 + 33x + 5[-18 + 3x + (-5 * -2 + 3x * -2)] = 2(4x + 3) 66 + 33x + 5[-18 + 3x + (10 + -6x)] = 2(4x + 3) Reorder the terms: 66 + 33x + 5[-18 + 10 + 3x + -6x] = 2(4x + 3) Combine like terms: -18 + 10 = -8 66 + 33x + 5[-8 + 3x + -6x] = 2(4x + 3) Combine like terms: 3x + -6x = -3x 66 + 33x + 5[-8 + -3x] = 2(4x + 3) 66 + 33x + [-8 * 5 + -3x * 5] = 2(4x + 3) 66 + 33x + [-40 + -15x] = 2(4x + 3) Reorder the terms: 66 + -40 + 33x + -15x = 2(4x + 3) Combine like terms: 66 + -40 = 26 26 + 33x + -15x = 2(4x + 3) Combine like terms: 33x + -15x = 18x 26 + 18x = 2(4x + 3) Reorder the terms: 26 + 18x = 2(3 + 4x) 26 + 18x = (3 * 2 + 4x * 2) 26 + 18x = (6 + 8x) Solving 26 + 18x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 18x + -8x = 6 + 8x + -8x Combine like terms: 18x + -8x = 10x 26 + 10x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + 10x = 6 + 0 26 + 10x = 6 Add '-26' to each side of the equation. 26 + -26 + 10x = 6 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = 6 + -26 10x = 6 + -26 Combine like terms: 6 + -26 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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