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Simplifying 3(x + 1) + -8x = 10 + -1(4x + -7) Reorder the terms: 3(1 + x) + -8x = 10 + -1(4x + -7) (1 * 3 + x * 3) + -8x = 10 + -1(4x + -7) (3 + 3x) + -8x = 10 + -1(4x + -7) Combine like terms: 3x + -8x = -5x 3 + -5x = 10 + -1(4x + -7) Reorder the terms: 3 + -5x = 10 + -1(-7 + 4x) 3 + -5x = 10 + (-7 * -1 + 4x * -1) 3 + -5x = 10 + (7 + -4x) Combine like terms: 10 + 7 = 17 3 + -5x = 17 + -4x Solving 3 + -5x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -5x + 4x = 17 + -4x + 4x Combine like terms: -5x + 4x = -1x 3 + -1x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -1x = 17 + 0 3 + -1x = 17 Add '-3' to each side of the equation. 3 + -3 + -1x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 17 + -3 -1x = 17 + -3 Combine like terms: 17 + -3 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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