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Simplifying 5(7 + -2x) = 3 + -1(2x + -8) (7 * 5 + -2x * 5) = 3 + -1(2x + -8) (35 + -10x) = 3 + -1(2x + -8) Reorder the terms: 35 + -10x = 3 + -1(-8 + 2x) 35 + -10x = 3 + (-8 * -1 + 2x * -1) 35 + -10x = 3 + (8 + -2x) Combine like terms: 3 + 8 = 11 35 + -10x = 11 + -2x Solving 35 + -10x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + -10x + 2x = 11 + -2x + 2x Combine like terms: -10x + 2x = -8x 35 + -8x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -8x = 11 + 0 35 + -8x = 11 Add '-35' to each side of the equation. 35 + -35 + -8x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = 11 + -35 -8x = 11 + -35 Combine like terms: 11 + -35 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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