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Simplifying 4(5 + x) = 4(4x + -1) + -72 (5 * 4 + x * 4) = 4(4x + -1) + -72 (20 + 4x) = 4(4x + -1) + -72 Reorder the terms: 20 + 4x = 4(-1 + 4x) + -72 20 + 4x = (-1 * 4 + 4x * 4) + -72 20 + 4x = (-4 + 16x) + -72 Reorder the terms: 20 + 4x = -4 + -72 + 16x Combine like terms: -4 + -72 = -76 20 + 4x = -76 + 16x Solving 20 + 4x = -76 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 4x + -16x = -76 + 16x + -16x Combine like terms: 4x + -16x = -12x 20 + -12x = -76 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -12x = -76 + 0 20 + -12x = -76 Add '-20' to each side of the equation. 20 + -20 + -12x = -76 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -76 + -20 -12x = -76 + -20 Combine like terms: -76 + -20 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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