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Simplifying 3(x + -2) + -2(3 + -1x) = 7x + -12 Reorder the terms: 3(-2 + x) + -2(3 + -1x) = 7x + -12 (-2 * 3 + x * 3) + -2(3 + -1x) = 7x + -12 (-6 + 3x) + -2(3 + -1x) = 7x + -12 -6 + 3x + (3 * -2 + -1x * -2) = 7x + -12 -6 + 3x + (-6 + 2x) = 7x + -12 Reorder the terms: -6 + -6 + 3x + 2x = 7x + -12 Combine like terms: -6 + -6 = -12 -12 + 3x + 2x = 7x + -12 Combine like terms: 3x + 2x = 5x -12 + 5x = 7x + -12 Reorder the terms: -12 + 5x = -12 + 7x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 7x 5x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 5x = 0 + 7x 5x = 7x Solving 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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