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Simplifying 13 = -5(2 + 5x) + -1(-1x + 1) 13 = (2 * -5 + 5x * -5) + -1(-1x + 1) 13 = (-10 + -25x) + -1(-1x + 1) Reorder the terms: 13 = -10 + -25x + -1(1 + -1x) 13 = -10 + -25x + (1 * -1 + -1x * -1) 13 = -10 + -25x + (-1 + 1x) Reorder the terms: 13 = -10 + -1 + -25x + 1x Combine like terms: -10 + -1 = -11 13 = -11 + -25x + 1x Combine like terms: -25x + 1x = -24x 13 = -11 + -24x Solving 13 = -11 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 13 + 24x = -11 + -24x + 24x Combine like terms: -24x + 24x = 0 13 + 24x = -11 + 0 13 + 24x = -11 Add '-13' to each side of the equation. 13 + -13 + 24x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 24x = -11 + -13 24x = -11 + -13 Combine like terms: -11 + -13 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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