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Simplifying 152 = -4x + 5(4x + 8) Reorder the terms: 152 = -4x + 5(8 + 4x) 152 = -4x + (8 * 5 + 4x * 5) 152 = -4x + (40 + 20x) Reorder the terms: 152 = 40 + -4x + 20x Combine like terms: -4x + 20x = 16x 152 = 40 + 16x Solving 152 = 40 + 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. 152 + -16x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 152 + -16x = 40 + 0 152 + -16x = 40 Add '-152' to each side of the equation. 152 + -152 + -16x = 40 + -152 Combine like terms: 152 + -152 = 0 0 + -16x = 40 + -152 -16x = 40 + -152 Combine like terms: 40 + -152 = -112 -16x = -112 Divide each side by '-16'. x = 7 Simplifying x = 7
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