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Simplifying 1(x + -2) = 3(x + -6) Reorder the terms: 1(-2 + x) = 3(x + -6) (-2 * 1 + x * 1) = 3(x + -6) (-2 + 1x) = 3(x + -6) Reorder the terms: -2 + 1x = 3(-6 + x) -2 + 1x = (-6 * 3 + x * 3) -2 + 1x = (-18 + 3x) Solving -2 + 1x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 1x + -3x = -18 + 3x + -3x Combine like terms: 1x + -3x = -2x -2 + -2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2x = -18 + 0 -2 + -2x = -18 Add '2' to each side of the equation. -2 + 2 + -2x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -18 + 2 -2x = -18 + 2 Combine like terms: -18 + 2 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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