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Simplifying 4(5 + x) = 5(3x + -1) + -52 (5 * 4 + x * 4) = 5(3x + -1) + -52 (20 + 4x) = 5(3x + -1) + -52 Reorder the terms: 20 + 4x = 5(-1 + 3x) + -52 20 + 4x = (-1 * 5 + 3x * 5) + -52 20 + 4x = (-5 + 15x) + -52 Reorder the terms: 20 + 4x = -5 + -52 + 15x Combine like terms: -5 + -52 = -57 20 + 4x = -57 + 15x Solving 20 + 4x = -57 + 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 = -57 + 15x + -15x Combine like terms: 4x + -15x = -11x 20 + -11x = -57 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -11x = -57 + 0 20 + -11x = -57 Add '-20' to each side of the equation. 20 + -20 + -11x = -57 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -57 + -20 -11x = -57 + -20 Combine like terms: -57 + -20 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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