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Simplifying 4(2x + 5) = 3(5x + -7) Reorder the terms: 4(5 + 2x) = 3(5x + -7) (5 * 4 + 2x * 4) = 3(5x + -7) (20 + 8x) = 3(5x + -7) Reorder the terms: 20 + 8x = 3(-7 + 5x) 20 + 8x = (-7 * 3 + 5x * 3) 20 + 8x = (-21 + 15x) Solving 20 + 8x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 8x + -15x = -21 + 15x + -15x Combine like terms: 8x + -15x = -7x 20 + -7x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -7x = -21 + 0 20 + -7x = -21 Add '-20' to each side of the equation. 20 + -20 + -7x = -21 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -21 + -20 -7x = -21 + -20 Combine like terms: -21 + -20 = -41 -7x = -41 Divide each side by '-7'. x = 5.857142857 Simplifying x = 5.857142857
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