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Simplifying 4(x + 5) = 5(3x + -7) Reorder the terms: 4(5 + x) = 5(3x + -7) (5 * 4 + x * 4) = 5(3x + -7) (20 + 4x) = 5(3x + -7) Reorder the terms: 20 + 4x = 5(-7 + 3x) 20 + 4x = (-7 * 5 + 3x * 5) 20 + 4x = (-35 + 15x) Solving 20 + 4x = -35 + 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 + 4x + -15x = -35 + 15x + -15x Combine like terms: 4x + -15x = -11x 20 + -11x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -11x = -35 + 0 20 + -11x = -35 Add '-20' to each side of the equation. 20 + -20 + -11x = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -35 + -20 -11x = -35 + -20 Combine like terms: -35 + -20 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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