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Simplifying 6(5x + -1) * 2 + 5 = -17(5x + -1) Reorder the terms: 6(-1 + 5x) * 2 + 5 = -17(5x + -1) Reorder the terms for easier multiplication: 6 * 2(-1 + 5x) + 5 = -17(5x + -1) Multiply 6 * 2 12(-1 + 5x) + 5 = -17(5x + -1) (-1 * 12 + 5x * 12) + 5 = -17(5x + -1) (-12 + 60x) + 5 = -17(5x + -1) Reorder the terms: -12 + 5 + 60x = -17(5x + -1) Combine like terms: -12 + 5 = -7 -7 + 60x = -17(5x + -1) Reorder the terms: -7 + 60x = -17(-1 + 5x) -7 + 60x = (-1 * -17 + 5x * -17) -7 + 60x = (17 + -85x) Solving -7 + 60x = 17 + -85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85x' to each side of the equation. -7 + 60x + 85x = 17 + -85x + 85x Combine like terms: 60x + 85x = 145x -7 + 145x = 17 + -85x + 85x Combine like terms: -85x + 85x = 0 -7 + 145x = 17 + 0 -7 + 145x = 17 Add '7' to each side of the equation. -7 + 7 + 145x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 145x = 17 + 7 145x = 17 + 7 Combine like terms: 17 + 7 = 24 145x = 24 Divide each side by '145'. x = 0.1655172414 Simplifying x = 0.1655172414
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