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Simplifying -2(x + 5) = -3(x + 1) Reorder the terms: -2(5 + x) = -3(x + 1) (5 * -2 + x * -2) = -3(x + 1) (-10 + -2x) = -3(x + 1) Reorder the terms: -10 + -2x = -3(1 + x) -10 + -2x = (1 * -3 + x * -3) -10 + -2x = (-3 + -3x) Solving -10 + -2x = -3 + -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 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x -10 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 1x = -3 + 0 -10 + 1x = -3 Add '10' to each side of the equation. -10 + 10 + 1x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -3 + 10 1x = -3 + 10 Combine like terms: -3 + 10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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