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Simplifying 4(3 + -1x) + -8 = 5 + -1(3x + -2) (3 * 4 + -1x * 4) + -8 = 5 + -1(3x + -2) (12 + -4x) + -8 = 5 + -1(3x + -2) Reorder the terms: 12 + -8 + -4x = 5 + -1(3x + -2) Combine like terms: 12 + -8 = 4 4 + -4x = 5 + -1(3x + -2) Reorder the terms: 4 + -4x = 5 + -1(-2 + 3x) 4 + -4x = 5 + (-2 * -1 + 3x * -1) 4 + -4x = 5 + (2 + -3x) Combine like terms: 5 + 2 = 7 4 + -4x = 7 + -3x Solving 4 + -4x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -4x + 3x = 7 + -3x + 3x Combine like terms: -4x + 3x = -1x 4 + -1x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -1x = 7 + 0 4 + -1x = 7 Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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