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Simplifying 2(x + -3) + -3(x + 2) = x + 2 Reorder the terms: 2(-3 + x) + -3(x + 2) = x + 2 (-3 * 2 + x * 2) + -3(x + 2) = x + 2 (-6 + 2x) + -3(x + 2) = x + 2 Reorder the terms: -6 + 2x + -3(2 + x) = x + 2 -6 + 2x + (2 * -3 + x * -3) = x + 2 -6 + 2x + (-6 + -3x) = x + 2 Reorder the terms: -6 + -6 + 2x + -3x = x + 2 Combine like terms: -6 + -6 = -12 -12 + 2x + -3x = x + 2 Combine like terms: 2x + -3x = -1x -12 + -1x = x + 2 Reorder the terms: -12 + -1x = 2 + x Solving -12 + -1x = 2 + 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. -12 + -1x + -1x = 2 + x + -1x Combine like terms: -1x + -1x = -2x -12 + -2x = 2 + x + -1x Combine like terms: x + -1x = 0 -12 + -2x = 2 + 0 -12 + -2x = 2 Add '12' to each side of the equation. -12 + 12 + -2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 2 + 12 -2x = 2 + 12 Combine like terms: 2 + 12 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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