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Simplifying 3(x + -6) + 8 = 5x + 2 + -12 Reorder the terms: 3(-6 + x) + 8 = 5x + 2 + -12 (-6 * 3 + x * 3) + 8 = 5x + 2 + -12 (-18 + 3x) + 8 = 5x + 2 + -12 Reorder the terms: -18 + 8 + 3x = 5x + 2 + -12 Combine like terms: -18 + 8 = -10 -10 + 3x = 5x + 2 + -12 Reorder the terms: -10 + 3x = 2 + -12 + 5x Combine like terms: 2 + -12 = -10 -10 + 3x = -10 + 5x Add '10' to each side of the equation. -10 + 10 + 3x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 0 + 3x = -10 + 10 + 5x 3x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 3x = 0 + 5x 3x = 5x Solving 3x = 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. 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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