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Simplifying 5(2 + -1x) = 8 + -1(3 + 6x) (2 * 5 + -1x * 5) = 8 + -1(3 + 6x) (10 + -5x) = 8 + -1(3 + 6x) 10 + -5x = 8 + (3 * -1 + 6x * -1) 10 + -5x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 10 + -5x = 5 + -6x Solving 10 + -5x = 5 + -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. 10 + -5x + 6x = 5 + -6x + 6x Combine like terms: -5x + 6x = 1x 10 + 1x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 1x = 5 + 0 10 + 1x = 5 Add '-10' to each side of the equation. 10 + -10 + 1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 5 + -10 1x = 5 + -10 Combine like terms: 5 + -10 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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