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Simplifying -4(5x + -7) = 3(4x + 5) Reorder the terms: -4(-7 + 5x) = 3(4x + 5) (-7 * -4 + 5x * -4) = 3(4x + 5) (28 + -20x) = 3(4x + 5) Reorder the terms: 28 + -20x = 3(5 + 4x) 28 + -20x = (5 * 3 + 4x * 3) 28 + -20x = (15 + 12x) Solving 28 + -20x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + -20x + -12x = 15 + 12x + -12x Combine like terms: -20x + -12x = -32x 28 + -32x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -32x = 15 + 0 28 + -32x = 15 Add '-28' to each side of the equation. 28 + -28 + -32x = 15 + -28 Combine like terms: 28 + -28 = 0 0 + -32x = 15 + -28 -32x = 15 + -28 Combine like terms: 15 + -28 = -13 -32x = -13 Divide each side by '-32'. x = 0.40625 Simplifying x = 0.40625
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