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Simplifying 3(x + -6) + 4 = 5(x + 2) + 2 Reorder the terms: 3(-6 + x) + 4 = 5(x + 2) + 2 (-6 * 3 + x * 3) + 4 = 5(x + 2) + 2 (-18 + 3x) + 4 = 5(x + 2) + 2 Reorder the terms: -18 + 4 + 3x = 5(x + 2) + 2 Combine like terms: -18 + 4 = -14 -14 + 3x = 5(x + 2) + 2 Reorder the terms: -14 + 3x = 5(2 + x) + 2 -14 + 3x = (2 * 5 + x * 5) + 2 -14 + 3x = (10 + 5x) + 2 Reorder the terms: -14 + 3x = 10 + 2 + 5x Combine like terms: 10 + 2 = 12 -14 + 3x = 12 + 5x Solving -14 + 3x = 12 + 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. -14 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x -14 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -2x = 12 + 0 -14 + -2x = 12 Add '14' to each side of the equation. -14 + 14 + -2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 12 + 14 -2x = 12 + 14 Combine like terms: 12 + 14 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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