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Simplifying 3(x + -6) + 6 = 5(x + 2) + -6 Reorder the terms: 3(-6 + x) + 6 = 5(x + 2) + -6 (-6 * 3 + x * 3) + 6 = 5(x + 2) + -6 (-18 + 3x) + 6 = 5(x + 2) + -6 Reorder the terms: -18 + 6 + 3x = 5(x + 2) + -6 Combine like terms: -18 + 6 = -12 -12 + 3x = 5(x + 2) + -6 Reorder the terms: -12 + 3x = 5(2 + x) + -6 -12 + 3x = (2 * 5 + x * 5) + -6 -12 + 3x = (10 + 5x) + -6 Reorder the terms: -12 + 3x = 10 + -6 + 5x Combine like terms: 10 + -6 = 4 -12 + 3x = 4 + 5x Solving -12 + 3x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x -12 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -2x = 4 + 0 -12 + -2x = 4 Add '12' to each side of the equation. -12 + 12 + -2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 4 + 12 -2x = 4 + 12 Combine like terms: 4 + 12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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