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Simplifying 7(x + -2) + 3(x + 2) = 5(x + -6) Reorder the terms: 7(-2 + x) + 3(x + 2) = 5(x + -6) (-2 * 7 + x * 7) + 3(x + 2) = 5(x + -6) (-14 + 7x) + 3(x + 2) = 5(x + -6) Reorder the terms: -14 + 7x + 3(2 + x) = 5(x + -6) -14 + 7x + (2 * 3 + x * 3) = 5(x + -6) -14 + 7x + (6 + 3x) = 5(x + -6) Reorder the terms: -14 + 6 + 7x + 3x = 5(x + -6) Combine like terms: -14 + 6 = -8 -8 + 7x + 3x = 5(x + -6) Combine like terms: 7x + 3x = 10x -8 + 10x = 5(x + -6) Reorder the terms: -8 + 10x = 5(-6 + x) -8 + 10x = (-6 * 5 + x * 5) -8 + 10x = (-30 + 5x) Solving -8 + 10x = -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. -8 + 10x + -5x = -30 + 5x + -5x Combine like terms: 10x + -5x = 5x -8 + 5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 5x = -30 + 0 -8 + 5x = -30 Add '8' to each side of the equation. -8 + 8 + 5x = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -30 + 8 5x = -30 + 8 Combine like terms: -30 + 8 = -22 5x = -22 Divide each side by '5'. x = -4.4 Simplifying x = -4.4
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