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Simplifying 2(x + -5) = 7(x + 2) Reorder the terms: 2(-5 + x) = 7(x + 2) (-5 * 2 + x * 2) = 7(x + 2) (-10 + 2x) = 7(x + 2) Reorder the terms: -10 + 2x = 7(2 + x) -10 + 2x = (2 * 7 + x * 7) -10 + 2x = (14 + 7x) Solving -10 + 2x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 2x + -7x = 14 + 7x + -7x Combine like terms: 2x + -7x = -5x -10 + -5x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -5x = 14 + 0 -10 + -5x = 14 Add '10' to each side of the equation. -10 + 10 + -5x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 14 + 10 -5x = 14 + 10 Combine like terms: 14 + 10 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8
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