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Simplifying 152 = (25x + -10) + (15x + 2) Reorder the terms: 152 = (-10 + 25x) + (15x + 2) Remove parenthesis around (-10 + 25x) 152 = -10 + 25x + (15x + 2) Reorder the terms: 152 = -10 + 25x + (2 + 15x) Remove parenthesis around (2 + 15x) 152 = -10 + 25x + 2 + 15x Reorder the terms: 152 = -10 + 2 + 25x + 15x Combine like terms: -10 + 2 = -8 152 = -8 + 25x + 15x Combine like terms: 25x + 15x = 40x 152 = -8 + 40x Solving 152 = -8 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 152 + -40x = -8 + 40x + -40x Combine like terms: 40x + -40x = 0 152 + -40x = -8 + 0 152 + -40x = -8 Add '-152' to each side of the equation. 152 + -152 + -40x = -8 + -152 Combine like terms: 152 + -152 = 0 0 + -40x = -8 + -152 -40x = -8 + -152 Combine like terms: -8 + -152 = -160 -40x = -160 Divide each side by '-40'. x = 4 Simplifying x = 4
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