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Simplifying 12 + 6x + -15 = 3(x + -2) Reorder the terms: 12 + -15 + 6x = 3(x + -2) Combine like terms: 12 + -15 = -3 -3 + 6x = 3(x + -2) Reorder the terms: -3 + 6x = 3(-2 + x) -3 + 6x = (-2 * 3 + x * 3) -3 + 6x = (-6 + 3x) Solving -3 + 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. -3 + 6x + -3x = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x -3 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 3x = -6 + 0 -3 + 3x = -6 Add '3' to each side of the equation. -3 + 3 + 3x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -6 + 3 3x = -6 + 3 Combine like terms: -6 + 3 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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