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Simplifying -5(x + 2) = -10(x + -3) Reorder the terms: -5(2 + x) = -10(x + -3) (2 * -5 + x * -5) = -10(x + -3) (-10 + -5x) = -10(x + -3) Reorder the terms: -10 + -5x = -10(-3 + x) -10 + -5x = (-3 * -10 + x * -10) -10 + -5x = (30 + -10x) Solving -10 + -5x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + -5x + 10x = 30 + -10x + 10x Combine like terms: -5x + 10x = 5x -10 + 5x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 5x = 30 + 0 -10 + 5x = 30 Add '10' to each side of the equation. -10 + 10 + 5x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 30 + 10 5x = 30 + 10 Combine like terms: 30 + 10 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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