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Simplifying -3 + -5(5x + -8) = 6(1 + x) Reorder the terms: -3 + -5(-8 + 5x) = 6(1 + x) -3 + (-8 * -5 + 5x * -5) = 6(1 + x) -3 + (40 + -25x) = 6(1 + x) Combine like terms: -3 + 40 = 37 37 + -25x = 6(1 + x) 37 + -25x = (1 * 6 + x * 6) 37 + -25x = (6 + 6x) Solving 37 + -25x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 37 + -25x + -6x = 6 + 6x + -6x Combine like terms: -25x + -6x = -31x 37 + -31x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 37 + -31x = 6 + 0 37 + -31x = 6 Add '-37' to each side of the equation. 37 + -37 + -31x = 6 + -37 Combine like terms: 37 + -37 = 0 0 + -31x = 6 + -37 -31x = 6 + -37 Combine like terms: 6 + -37 = -31 -31x = -31 Divide each side by '-31'. x = 1 Simplifying x = 1
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