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Simplifying 4(5x + -6) = 7(8x + -9) Reorder the terms: 4(-6 + 5x) = 7(8x + -9) (-6 * 4 + 5x * 4) = 7(8x + -9) (-24 + 20x) = 7(8x + -9) Reorder the terms: -24 + 20x = 7(-9 + 8x) -24 + 20x = (-9 * 7 + 8x * 7) -24 + 20x = (-63 + 56x) Solving -24 + 20x = -63 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -24 + 20x + -56x = -63 + 56x + -56x Combine like terms: 20x + -56x = -36x -24 + -36x = -63 + 56x + -56x Combine like terms: 56x + -56x = 0 -24 + -36x = -63 + 0 -24 + -36x = -63 Add '24' to each side of the equation. -24 + 24 + -36x = -63 + 24 Combine like terms: -24 + 24 = 0 0 + -36x = -63 + 24 -36x = -63 + 24 Combine like terms: -63 + 24 = -39 -36x = -39 Divide each side by '-36'. x = 1.083333333 Simplifying x = 1.083333333
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