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Simplifying 2(x + -1) + -3(x + -2) = x + 6 Reorder the terms: 2(-1 + x) + -3(x + -2) = x + 6 (-1 * 2 + x * 2) + -3(x + -2) = x + 6 (-2 + 2x) + -3(x + -2) = x + 6 Reorder the terms: -2 + 2x + -3(-2 + x) = x + 6 -2 + 2x + (-2 * -3 + x * -3) = x + 6 -2 + 2x + (6 + -3x) = x + 6 Reorder the terms: -2 + 6 + 2x + -3x = x + 6 Combine like terms: -2 + 6 = 4 4 + 2x + -3x = x + 6 Combine like terms: 2x + -3x = -1x 4 + -1x = x + 6 Reorder the terms: 4 + -1x = 6 + x Solving 4 + -1x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -1x + -1x = 6 + x + -1x Combine like terms: -1x + -1x = -2x 4 + -2x = 6 + x + -1x Combine like terms: x + -1x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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