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Simplifying 5(-5x + 7) = -2(3 + -6x) + 4x Reorder the terms: 5(7 + -5x) = -2(3 + -6x) + 4x (7 * 5 + -5x * 5) = -2(3 + -6x) + 4x (35 + -25x) = -2(3 + -6x) + 4x 35 + -25x = (3 * -2 + -6x * -2) + 4x 35 + -25x = (-6 + 12x) + 4x Combine like terms: 12x + 4x = 16x 35 + -25x = -6 + 16x Solving 35 + -25x = -6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 35 + -25x + -16x = -6 + 16x + -16x Combine like terms: -25x + -16x = -41x 35 + -41x = -6 + 16x + -16x Combine like terms: 16x + -16x = 0 35 + -41x = -6 + 0 35 + -41x = -6 Add '-35' to each side of the equation. 35 + -35 + -41x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -41x = -6 + -35 -41x = -6 + -35 Combine like terms: -6 + -35 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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