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Simplifying 5(x + -2) = 3(x + -8) Reorder the terms: 5(-2 + x) = 3(x + -8) (-2 * 5 + x * 5) = 3(x + -8) (-10 + 5x) = 3(x + -8) Reorder the terms: -10 + 5x = 3(-8 + x) -10 + 5x = (-8 * 3 + x * 3) -10 + 5x = (-24 + 3x) Solving -10 + 5x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = -24 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -24 + 0 -10 + 2x = -24 Add '10' to each side of the equation. -10 + 10 + 2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -24 + 10 2x = -24 + 10 Combine like terms: -24 + 10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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