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Simplifying (10x + -50) + 20x = 15(x + 4) Reorder the terms: (-50 + 10x) + 20x = 15(x + 4) Remove parenthesis around (-50 + 10x) -50 + 10x + 20x = 15(x + 4) Combine like terms: 10x + 20x = 30x -50 + 30x = 15(x + 4) Reorder the terms: -50 + 30x = 15(4 + x) -50 + 30x = (4 * 15 + x * 15) -50 + 30x = (60 + 15x) Solving -50 + 30x = 60 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -50 + 30x + -15x = 60 + 15x + -15x Combine like terms: 30x + -15x = 15x -50 + 15x = 60 + 15x + -15x Combine like terms: 15x + -15x = 0 -50 + 15x = 60 + 0 -50 + 15x = 60 Add '50' to each side of the equation. -50 + 50 + 15x = 60 + 50 Combine like terms: -50 + 50 = 0 0 + 15x = 60 + 50 15x = 60 + 50 Combine like terms: 60 + 50 = 110 15x = 110 Divide each side by '15'. x = 7.333333333 Simplifying x = 7.333333333
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