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Simplifying 13 + -1(2x + -5) = 2(4x + -1) Reorder the terms: 13 + -1(-5 + 2x) = 2(4x + -1) 13 + (-5 * -1 + 2x * -1) = 2(4x + -1) 13 + (5 + -2x) = 2(4x + -1) Combine like terms: 13 + 5 = 18 18 + -2x = 2(4x + -1) Reorder the terms: 18 + -2x = 2(-1 + 4x) 18 + -2x = (-1 * 2 + 4x * 2) 18 + -2x = (-2 + 8x) Solving 18 + -2x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -2x + -8x = -2 + 8x + -8x Combine like terms: -2x + -8x = -10x 18 + -10x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -10x = -2 + 0 18 + -10x = -2 Add '-18' to each side of the equation. 18 + -18 + -10x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -2 + -18 -10x = -2 + -18 Combine like terms: -2 + -18 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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