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Simplifying 5(2 + -1x) = 2(2x + -13) (2 * 5 + -1x * 5) = 2(2x + -13) (10 + -5x) = 2(2x + -13) Reorder the terms: 10 + -5x = 2(-13 + 2x) 10 + -5x = (-13 * 2 + 2x * 2) 10 + -5x = (-26 + 4x) Solving 10 + -5x = -26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -5x + -4x = -26 + 4x + -4x Combine like terms: -5x + -4x = -9x 10 + -9x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -9x = -26 + 0 10 + -9x = -26 Add '-10' to each side of the equation. 10 + -10 + -9x = -26 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -26 + -10 -9x = -26 + -10 Combine like terms: -26 + -10 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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