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