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Simplifying 8(-3 + -9x) = 7(5x + 2 + -1x) (-3 * 8 + -9x * 8) = 7(5x + 2 + -1x) (-24 + -72x) = 7(5x + 2 + -1x) Reorder the terms: -24 + -72x = 7(2 + 5x + -1x) Combine like terms: 5x + -1x = 4x -24 + -72x = 7(2 + 4x) -24 + -72x = (2 * 7 + 4x * 7) -24 + -72x = (14 + 28x) Solving -24 + -72x = 14 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -24 + -72x + -28x = 14 + 28x + -28x Combine like terms: -72x + -28x = -100x -24 + -100x = 14 + 28x + -28x Combine like terms: 28x + -28x = 0 -24 + -100x = 14 + 0 -24 + -100x = 14 Add '24' to each side of the equation. -24 + 24 + -100x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + -100x = 14 + 24 -100x = 14 + 24 Combine like terms: 14 + 24 = 38 -100x = 38 Divide each side by '-100'. x = -0.38 Simplifying x = -0.38
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