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Simplifying 3(x + -6) = 1 + 2(x + -6) Reorder the terms: 3(-6 + x) = 1 + 2(x + -6) (-6 * 3 + x * 3) = 1 + 2(x + -6) (-18 + 3x) = 1 + 2(x + -6) Reorder the terms: -18 + 3x = 1 + 2(-6 + x) -18 + 3x = 1 + (-6 * 2 + x * 2) -18 + 3x = 1 + (-12 + 2x) Combine like terms: 1 + -12 = -11 -18 + 3x = -11 + 2x Solving -18 + 3x = -11 + 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 = -11 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = -11 + 0 -18 + 1x = -11 Add '18' to each side of the equation. -18 + 18 + 1x = -11 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -11 + 18 1x = -11 + 18 Combine like terms: -11 + 18 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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