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Simplifying 5(x + -7) = x + 71 Reorder the terms: 5(-7 + x) = x + 71 (-7 * 5 + x * 5) = x + 71 (-35 + 5x) = x + 71 Reorder the terms: -35 + 5x = 71 + x Solving -35 + 5x = 71 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -35 + 5x + -1x = 71 + x + -1x Combine like terms: 5x + -1x = 4x -35 + 4x = 71 + x + -1x Combine like terms: x + -1x = 0 -35 + 4x = 71 + 0 -35 + 4x = 71 Add '35' to each side of the equation. -35 + 35 + 4x = 71 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 71 + 35 4x = 71 + 35 Combine like terms: 71 + 35 = 106 4x = 106 Divide each side by '4'. x = 26.5 Simplifying x = 26.5
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