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Simplifying 152 = 5x + 3(4x + 11) Reorder the terms: 152 = 5x + 3(11 + 4x) 152 = 5x + (11 * 3 + 4x * 3) 152 = 5x + (33 + 12x) Reorder the terms: 152 = 33 + 5x + 12x Combine like terms: 5x + 12x = 17x 152 = 33 + 17x Solving 152 = 33 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 152 + -17x = 33 + 17x + -17x Combine like terms: 17x + -17x = 0 152 + -17x = 33 + 0 152 + -17x = 33 Add '-152' to each side of the equation. 152 + -152 + -17x = 33 + -152 Combine like terms: 152 + -152 = 0 0 + -17x = 33 + -152 -17x = 33 + -152 Combine like terms: 33 + -152 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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