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Simplifying 4[6 + -1(1 + 2x)] + 10 = 2(10 + -3x) + 8x 4[6 + (1 * -1 + 2x * -1)] + 10 = 2(10 + -3x) + 8x 4[6 + (-1 + -2x)] + 10 = 2(10 + -3x) + 8x Combine like terms: 6 + -1 = 5 4[5 + -2x] + 10 = 2(10 + -3x) + 8x [5 * 4 + -2x * 4] + 10 = 2(10 + -3x) + 8x [20 + -8x] + 10 = 2(10 + -3x) + 8x Reorder the terms: 20 + 10 + -8x = 2(10 + -3x) + 8x Combine like terms: 20 + 10 = 30 30 + -8x = 2(10 + -3x) + 8x 30 + -8x = (10 * 2 + -3x * 2) + 8x 30 + -8x = (20 + -6x) + 8x Combine like terms: -6x + 8x = 2x 30 + -8x = 20 + 2x Solving 30 + -8x = 20 + 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. 30 + -8x + -2x = 20 + 2x + -2x Combine like terms: -8x + -2x = -10x 30 + -10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -10x = 20 + 0 30 + -10x = 20 Add '-30' to each side of the equation. 30 + -30 + -10x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = 20 + -30 -10x = 20 + -30 Combine like terms: 20 + -30 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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