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Simplifying 3x + -2(x + -1) = -2 + 4x + 10 Reorder the terms: 3x + -2(-1 + x) = -2 + 4x + 10 3x + (-1 * -2 + x * -2) = -2 + 4x + 10 3x + (2 + -2x) = -2 + 4x + 10 Reorder the terms: 2 + 3x + -2x = -2 + 4x + 10 Combine like terms: 3x + -2x = 1x 2 + 1x = -2 + 4x + 10 Reorder the terms: 2 + 1x = -2 + 10 + 4x Combine like terms: -2 + 10 = 8 2 + 1x = 8 + 4x Solving 2 + 1x = 8 + 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. 2 + 1x + -4x = 8 + 4x + -4x Combine like terms: 1x + -4x = -3x 2 + -3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -3x = 8 + 0 2 + -3x = 8 Add '-2' to each side of the equation. 2 + -2 + -3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 8 + -2 -3x = 8 + -2 Combine like terms: 8 + -2 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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