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Simplifying -2(1 + x) = -5(5x + -3) + 6 (1 * -2 + x * -2) = -5(5x + -3) + 6 (-2 + -2x) = -5(5x + -3) + 6 Reorder the terms: -2 + -2x = -5(-3 + 5x) + 6 -2 + -2x = (-3 * -5 + 5x * -5) + 6 -2 + -2x = (15 + -25x) + 6 Reorder the terms: -2 + -2x = 15 + 6 + -25x Combine like terms: 15 + 6 = 21 -2 + -2x = 21 + -25x Solving -2 + -2x = 21 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -2 + -2x + 25x = 21 + -25x + 25x Combine like terms: -2x + 25x = 23x -2 + 23x = 21 + -25x + 25x Combine like terms: -25x + 25x = 0 -2 + 23x = 21 + 0 -2 + 23x = 21 Add '2' to each side of the equation. -2 + 2 + 23x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 23x = 21 + 2 23x = 21 + 2 Combine like terms: 21 + 2 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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