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Simplifying 3(x + -6) = 2 + 2(x + -5) Reorder the terms: 3(-6 + x) = 2 + 2(x + -5) (-6 * 3 + x * 3) = 2 + 2(x + -5) (-18 + 3x) = 2 + 2(x + -5) Reorder the terms: -18 + 3x = 2 + 2(-5 + x) -18 + 3x = 2 + (-5 * 2 + x * 2) -18 + 3x = 2 + (-10 + 2x) Combine like terms: 2 + -10 = -8 -18 + 3x = -8 + 2x Solving -18 + 3x = -8 + 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. -18 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = -8 + 0 -18 + 1x = -8 Add '18' to each side of the equation. -18 + 18 + 1x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -8 + 18 1x = -8 + 18 Combine like terms: -8 + 18 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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