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Simplifying -5(7x + -5) = -4 + -2(2x + 1) Reorder the terms: -5(-5 + 7x) = -4 + -2(2x + 1) (-5 * -5 + 7x * -5) = -4 + -2(2x + 1) (25 + -35x) = -4 + -2(2x + 1) Reorder the terms: 25 + -35x = -4 + -2(1 + 2x) 25 + -35x = -4 + (1 * -2 + 2x * -2) 25 + -35x = -4 + (-2 + -4x) Combine like terms: -4 + -2 = -6 25 + -35x = -6 + -4x Solving 25 + -35x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 25 + -35x + 4x = -6 + -4x + 4x Combine like terms: -35x + 4x = -31x 25 + -31x = -6 + -4x + 4x Combine like terms: -4x + 4x = 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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