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Simplifying 8(5x + -3) = -18x + -24 Reorder the terms: 8(-3 + 5x) = -18x + -24 (-3 * 8 + 5x * 8) = -18x + -24 (-24 + 40x) = -18x + -24 Reorder the terms: -24 + 40x = -24 + -18x Add '24' to each side of the equation. -24 + 24 + 40x = -24 + 24 + -18x Combine like terms: -24 + 24 = 0 0 + 40x = -24 + 24 + -18x 40x = -24 + 24 + -18x Combine like terms: -24 + 24 = 0 40x = 0 + -18x 40x = -18x Solving 40x = -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 40x + 18x = -18x + 18x Combine like terms: 40x + 18x = 58x 58x = -18x + 18x Combine like terms: -18x + 18x = 0 58x = 0 Divide each side by '58'. x = 0 Simplifying x = 0
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