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Simplifying 5(7 + -1x) = 5x (7 * 5 + -1x * 5) = 5x (35 + -5x) = 5x Solving 35 + -5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + -5x + -5x = 5x + -5x Combine like terms: -5x + -5x = -10x 35 + -10x = 5x + -5x Combine like terms: 5x + -5x = 0 35 + -10x = 0 Add '-35' to each side of the equation. 35 + -35 + -10x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = 0 + -35 -10x = 0 + -35 Combine like terms: 0 + -35 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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