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Simplifying 10x + 30 = 15(5 + -15x) + 40 Reorder the terms: 30 + 10x = 15(5 + -15x) + 40 30 + 10x = (5 * 15 + -15x * 15) + 40 30 + 10x = (75 + -225x) + 40 Reorder the terms: 30 + 10x = 75 + 40 + -225x Combine like terms: 75 + 40 = 115 30 + 10x = 115 + -225x Solving 30 + 10x = 115 + -225x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '225x' to each side of the equation. 30 + 10x + 225x = 115 + -225x + 225x Combine like terms: 10x + 225x = 235x 30 + 235x = 115 + -225x + 225x Combine like terms: -225x + 225x = 0 30 + 235x = 115 + 0 30 + 235x = 115 Add '-30' to each side of the equation. 30 + -30 + 235x = 115 + -30 Combine like terms: 30 + -30 = 0 0 + 235x = 115 + -30 235x = 115 + -30 Combine like terms: 115 + -30 = 85 235x = 85 Divide each side by '235'. x = 0.3617021277 Simplifying x = 0.3617021277
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