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Simplifying 5(x + -2) = 2(x + 7) Reorder the terms: 5(-2 + x) = 2(x + 7) (-2 * 5 + x * 5) = 2(x + 7) (-10 + 5x) = 2(x + 7) Reorder the terms: -10 + 5x = 2(7 + x) -10 + 5x = (7 * 2 + x * 2) -10 + 5x = (14 + 2x) Solving -10 + 5x = 14 + 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. -10 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 14 + 0 -10 + 3x = 14 Add '10' to each side of the equation. -10 + 10 + 3x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 14 + 10 3x = 14 + 10 Combine like terms: 14 + 10 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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