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Simplifying 30(x + -8) = 40x Reorder the terms: 30(-8 + x) = 40x (-8 * 30 + x * 30) = 40x (-240 + 30x) = 40x Solving -240 + 30x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -240 + 30x + -40x = 40x + -40x Combine like terms: 30x + -40x = -10x -240 + -10x = 40x + -40x Combine like terms: 40x + -40x = 0 -240 + -10x = 0 Add '240' to each side of the equation. -240 + 240 + -10x = 0 + 240 Combine like terms: -240 + 240 = 0 0 + -10x = 0 + 240 -10x = 0 + 240 Combine like terms: 0 + 240 = 240 -10x = 240 Divide each side by '-10'. x = -24 Simplifying x = -24
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