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Simplifying -7 + 3(x + -3) + -2(x + -2) = 0 Reorder the terms: -7 + 3(-3 + x) + -2(x + -2) = 0 -7 + (-3 * 3 + x * 3) + -2(x + -2) = 0 -7 + (-9 + 3x) + -2(x + -2) = 0 Reorder the terms: -7 + -9 + 3x + -2(-2 + x) = 0 -7 + -9 + 3x + (-2 * -2 + x * -2) = 0 -7 + -9 + 3x + (4 + -2x) = 0 Reorder the terms: -7 + -9 + 4 + 3x + -2x = 0 Combine like terms: -7 + -9 = -16 -16 + 4 + 3x + -2x = 0 Combine like terms: -16 + 4 = -12 -12 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -12 + 1x = 0 Solving -12 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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