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