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