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Simplifying 5(30 + 10x) + (20 + 10x) = 3(10x + 10) (30 * 5 + 10x * 5) + (20 + 10x) = 3(10x + 10) (150 + 50x) + (20 + 10x) = 3(10x + 10) Remove parenthesis around (20 + 10x) 150 + 50x + 20 + 10x = 3(10x + 10) Reorder the terms: 150 + 20 + 50x + 10x = 3(10x + 10) Combine like terms: 150 + 20 = 170 170 + 50x + 10x = 3(10x + 10) Combine like terms: 50x + 10x = 60x 170 + 60x = 3(10x + 10) Reorder the terms: 170 + 60x = 3(10 + 10x) 170 + 60x = (10 * 3 + 10x * 3) 170 + 60x = (30 + 30x) Solving 170 + 60x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 170 + 60x + -30x = 30 + 30x + -30x Combine like terms: 60x + -30x = 30x 170 + 30x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 170 + 30x = 30 + 0 170 + 30x = 30 Add '-170' to each side of the equation. 170 + -170 + 30x = 30 + -170 Combine like terms: 170 + -170 = 0 0 + 30x = 30 + -170 30x = 30 + -170 Combine like terms: 30 + -170 = -140 30x = -140 Divide each side by '30'. x = -4.666666667 Simplifying x = -4.666666667
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