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Simplifying 4(3 + x) = 5(3x + -1) + -71 (3 * 4 + x * 4) = 5(3x + -1) + -71 (12 + 4x) = 5(3x + -1) + -71 Reorder the terms: 12 + 4x = 5(-1 + 3x) + -71 12 + 4x = (-1 * 5 + 3x * 5) + -71 12 + 4x = (-5 + 15x) + -71 Reorder the terms: 12 + 4x = -5 + -71 + 15x Combine like terms: -5 + -71 = -76 12 + 4x = -76 + 15x Solving 12 + 4x = -76 + 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. 12 + 4x + -15x = -76 + 15x + -15x Combine like terms: 4x + -15x = -11x 12 + -11x = -76 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -11x = -76 + 0 12 + -11x = -76 Add '-12' to each side of the equation. 12 + -12 + -11x = -76 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -76 + -12 -11x = -76 + -12 Combine like terms: -76 + -12 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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