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