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Simplifying (x + -2) + 3(x + 2) = 5(x + -6) Reorder the terms: (-2 + x) + 3(x + 2) = 5(x + -6) Remove parenthesis around (-2 + x) -2 + x + 3(x + 2) = 5(x + -6) Reorder the terms: -2 + x + 3(2 + x) = 5(x + -6) -2 + x + (2 * 3 + x * 3) = 5(x + -6) -2 + x + (6 + 3x) = 5(x + -6) Reorder the terms: -2 + 6 + x + 3x = 5(x + -6) Combine like terms: -2 + 6 = 4 4 + x + 3x = 5(x + -6) Combine like terms: x + 3x = 4x 4 + 4x = 5(x + -6) Reorder the terms: 4 + 4x = 5(-6 + x) 4 + 4x = (-6 * 5 + x * 5) 4 + 4x = (-30 + 5x) Solving 4 + 4x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 4x + -5x = -30 + 5x + -5x Combine like terms: 4x + -5x = -1x 4 + -1x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -1x = -30 + 0 4 + -1x = -30 Add '-4' to each side of the equation. 4 + -4 + -1x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -30 + -4 -1x = -30 + -4 Combine like terms: -30 + -4 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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