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Simplifying 3(x + -6) + 8 = 5x + -2 Reorder the terms: 3(-6 + x) + 8 = 5x + -2 (-6 * 3 + x * 3) + 8 = 5x + -2 (-18 + 3x) + 8 = 5x + -2 Reorder the terms: -18 + 8 + 3x = 5x + -2 Combine like terms: -18 + 8 = -10 -10 + 3x = 5x + -2 Reorder the terms: -10 + 3x = -2 + 5x Solving -10 + 3x = -2 + 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. -10 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x -10 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -2x = -2 + 0 -10 + -2x = -2 Add '10' to each side of the equation. -10 + 10 + -2x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -2 + 10 -2x = -2 + 10 Combine like terms: -2 + 10 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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