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Simplifying -1(4x + -1) + -5(7x + -6) = -3x + -5x Reorder the terms: -1(-1 + 4x) + -5(7x + -6) = -3x + -5x (-1 * -1 + 4x * -1) + -5(7x + -6) = -3x + -5x (1 + -4x) + -5(7x + -6) = -3x + -5x Reorder the terms: 1 + -4x + -5(-6 + 7x) = -3x + -5x 1 + -4x + (-6 * -5 + 7x * -5) = -3x + -5x 1 + -4x + (30 + -35x) = -3x + -5x Reorder the terms: 1 + 30 + -4x + -35x = -3x + -5x Combine like terms: 1 + 30 = 31 31 + -4x + -35x = -3x + -5x Combine like terms: -4x + -35x = -39x 31 + -39x = -3x + -5x Combine like terms: -3x + -5x = -8x 31 + -39x = -8x Solving 31 + -39x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 31 + -39x + 8x = -8x + 8x Combine like terms: -39x + 8x = -31x 31 + -31x = -8x + 8x Combine like terms: -8x + 8x = 0 31 + -31x = 0 Add '-31' to each side of the equation. 31 + -31 + -31x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -31x = 0 + -31 -31x = 0 + -31 Combine like terms: 0 + -31 = -31 -31x = -31 Divide each side by '-31'. x = 1 Simplifying x = 1
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