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Simplifying 8(x + -1) + 3(6 + -3x) = -2(x + -3) + 7 Reorder the terms: 8(-1 + x) + 3(6 + -3x) = -2(x + -3) + 7 (-1 * 8 + x * 8) + 3(6 + -3x) = -2(x + -3) + 7 (-8 + 8x) + 3(6 + -3x) = -2(x + -3) + 7 -8 + 8x + (6 * 3 + -3x * 3) = -2(x + -3) + 7 -8 + 8x + (18 + -9x) = -2(x + -3) + 7 Reorder the terms: -8 + 18 + 8x + -9x = -2(x + -3) + 7 Combine like terms: -8 + 18 = 10 10 + 8x + -9x = -2(x + -3) + 7 Combine like terms: 8x + -9x = -1x 10 + -1x = -2(x + -3) + 7 Reorder the terms: 10 + -1x = -2(-3 + x) + 7 10 + -1x = (-3 * -2 + x * -2) + 7 10 + -1x = (6 + -2x) + 7 Reorder the terms: 10 + -1x = 6 + 7 + -2x Combine like terms: 6 + 7 = 13 10 + -1x = 13 + -2x Solving 10 + -1x = 13 + -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. 10 + -1x + 2x = 13 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = 13 + 0 10 + 1x = 13 Add '-10' to each side of the equation. 10 + -10 + 1x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 13 + -10 1x = 13 + -10 Combine like terms: 13 + -10 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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