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Simplifying 3x + -5(5 + 7x) = -1(x + -6) 3x + (5 * -5 + 7x * -5) = -1(x + -6) 3x + (-25 + -35x) = -1(x + -6) Reorder the terms: -25 + 3x + -35x = -1(x + -6) Combine like terms: 3x + -35x = -32x -25 + -32x = -1(x + -6) Reorder the terms: -25 + -32x = -1(-6 + x) -25 + -32x = (-6 * -1 + x * -1) -25 + -32x = (6 + -1x) Solving -25 + -32x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + -32x + x = 6 + -1x + x Combine like terms: -32x + x = -31x -25 + -31x = 6 + -1x + x Combine like terms: -1x + x = 0 -25 + -31x = 6 + 0 -25 + -31x = 6 Add '25' to each side of the equation. -25 + 25 + -31x = 6 + 25 Combine like terms: -25 + 25 = 0 0 + -31x = 6 + 25 -31x = 6 + 25 Combine like terms: 6 + 25 = 31 -31x = 31 Divide each side by '-31'. x = -1 Simplifying x = -1
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