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Simplifying -10 + 2x + 3(5 + -1x) = 2(4x + -8) -10 + 2x + (5 * 3 + -1x * 3) = 2(4x + -8) -10 + 2x + (15 + -3x) = 2(4x + -8) Reorder the terms: -10 + 15 + 2x + -3x = 2(4x + -8) Combine like terms: -10 + 15 = 5 5 + 2x + -3x = 2(4x + -8) Combine like terms: 2x + -3x = -1x 5 + -1x = 2(4x + -8) Reorder the terms: 5 + -1x = 2(-8 + 4x) 5 + -1x = (-8 * 2 + 4x * 2) 5 + -1x = (-16 + 8x) Solving 5 + -1x = -16 + 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. 5 + -1x + -8x = -16 + 8x + -8x Combine like terms: -1x + -8x = -9x 5 + -9x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -9x = -16 + 0 5 + -9x = -16 Add '-5' to each side of the equation. 5 + -5 + -9x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -16 + -5 -9x = -16 + -5 Combine like terms: -16 + -5 = -21 -9x = -21 Divide each side by '-9'. x = 2.333333333 Simplifying x = 2.333333333
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