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Simplifying 3(4x + -3) = 5(8x + 5) Reorder the terms: 3(-3 + 4x) = 5(8x + 5) (-3 * 3 + 4x * 3) = 5(8x + 5) (-9 + 12x) = 5(8x + 5) Reorder the terms: -9 + 12x = 5(5 + 8x) -9 + 12x = (5 * 5 + 8x * 5) -9 + 12x = (25 + 40x) Solving -9 + 12x = 25 + 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. -9 + 12x + -40x = 25 + 40x + -40x Combine like terms: 12x + -40x = -28x -9 + -28x = 25 + 40x + -40x Combine like terms: 40x + -40x = 0 -9 + -28x = 25 + 0 -9 + -28x = 25 Add '9' to each side of the equation. -9 + 9 + -28x = 25 + 9 Combine like terms: -9 + 9 = 0 0 + -28x = 25 + 9 -28x = 25 + 9 Combine like terms: 25 + 9 = 34 -28x = 34 Divide each side by '-28'. x = -1.214285714 Simplifying x = -1.214285714
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