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Simplifying 3(x + -6) + -2 = 2x + -5 Reorder the terms: 3(-6 + x) + -2 = 2x + -5 (-6 * 3 + x * 3) + -2 = 2x + -5 (-18 + 3x) + -2 = 2x + -5 Reorder the terms: -18 + -2 + 3x = 2x + -5 Combine like terms: -18 + -2 = -20 -20 + 3x = 2x + -5 Reorder the terms: -20 + 3x = -5 + 2x Solving -20 + 3x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x -20 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 1x = -5 + 0 -20 + 1x = -5 Add '20' to each side of the equation. -20 + 20 + 1x = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -5 + 20 1x = -5 + 20 Combine like terms: -5 + 20 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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