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Simplifying 7(x + -2) + (x + 2) = 5(x + -6) Reorder the terms: 7(-2 + x) + (x + 2) = 5(x + -6) (-2 * 7 + x * 7) + (x + 2) = 5(x + -6) (-14 + 7x) + (x + 2) = 5(x + -6) Reorder the terms: -14 + 7x + (2 + x) = 5(x + -6) Remove parenthesis around (2 + x) -14 + 7x + 2 + x = 5(x + -6) Reorder the terms: -14 + 2 + 7x + x = 5(x + -6) Combine like terms: -14 + 2 = -12 -12 + 7x + x = 5(x + -6) Combine like terms: 7x + x = 8x -12 + 8x = 5(x + -6) Reorder the terms: -12 + 8x = 5(-6 + x) -12 + 8x = (-6 * 5 + x * 5) -12 + 8x = (-30 + 5x) Solving -12 + 8x = -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. -12 + 8x + -5x = -30 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = -30 + 0 -12 + 3x = -30 Add '12' to each side of the equation. -12 + 12 + 3x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -30 + 12 3x = -30 + 12 Combine like terms: -30 + 12 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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