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Simplifying 5(7 + -1x) = 31 + -1x (7 * 5 + -1x * 5) = 31 + -1x (35 + -5x) = 31 + -1x Solving 35 + -5x = 31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 35 + -5x + x = 31 + -1x + x Combine like terms: -5x + x = -4x 35 + -4x = 31 + -1x + x Combine like terms: -1x + x = 0 35 + -4x = 31 + 0 35 + -4x = 31 Add '-35' to each side of the equation. 35 + -35 + -4x = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 31 + -35 -4x = 31 + -35 Combine like terms: 31 + -35 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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