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Simplifying 3(2x + -2) + -3 = 3(x + -2) + 12 Reorder the terms: 3(-2 + 2x) + -3 = 3(x + -2) + 12 (-2 * 3 + 2x * 3) + -3 = 3(x + -2) + 12 (-6 + 6x) + -3 = 3(x + -2) + 12 Reorder the terms: -6 + -3 + 6x = 3(x + -2) + 12 Combine like terms: -6 + -3 = -9 -9 + 6x = 3(x + -2) + 12 Reorder the terms: -9 + 6x = 3(-2 + x) + 12 -9 + 6x = (-2 * 3 + x * 3) + 12 -9 + 6x = (-6 + 3x) + 12 Reorder the terms: -9 + 6x = -6 + 12 + 3x Combine like terms: -6 + 12 = 6 -9 + 6x = 6 + 3x Solving -9 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = 6 + 0 -9 + 3x = 6 Add '9' to each side of the equation. -9 + 9 + 3x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 6 + 9 3x = 6 + 9 Combine like terms: 6 + 9 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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