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Simplifying 5(x + -2) = 3 + -1(x + -2) Reorder the terms: 5(-2 + x) = 3 + -1(x + -2) (-2 * 5 + x * 5) = 3 + -1(x + -2) (-10 + 5x) = 3 + -1(x + -2) Reorder the terms: -10 + 5x = 3 + -1(-2 + x) -10 + 5x = 3 + (-2 * -1 + x * -1) -10 + 5x = 3 + (2 + -1x) Combine like terms: 3 + 2 = 5 -10 + 5x = 5 + -1x Solving -10 + 5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 5x + x = 5 + -1x + x Combine like terms: 5x + x = 6x -10 + 6x = 5 + -1x + x Combine like terms: -1x + x = 0 -10 + 6x = 5 + 0 -10 + 6x = 5 Add '10' to each side of the equation. -10 + 10 + 6x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 5 + 10 6x = 5 + 10 Combine like terms: 5 + 10 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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