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Simplifying 8(2x + -3) = -10(x + 5) Reorder the terms: 8(-3 + 2x) = -10(x + 5) (-3 * 8 + 2x * 8) = -10(x + 5) (-24 + 16x) = -10(x + 5) Reorder the terms: -24 + 16x = -10(5 + x) -24 + 16x = (5 * -10 + x * -10) -24 + 16x = (-50 + -10x) Solving -24 + 16x = -50 + -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. -24 + 16x + 10x = -50 + -10x + 10x Combine like terms: 16x + 10x = 26x -24 + 26x = -50 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 26x = -50 + 0 -24 + 26x = -50 Add '24' to each side of the equation. -24 + 24 + 26x = -50 + 24 Combine like terms: -24 + 24 = 0 0 + 26x = -50 + 24 26x = -50 + 24 Combine like terms: -50 + 24 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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