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Simplifying 7(x + -1) + -2(x + -5) = x + 5 Reorder the terms: 7(-1 + x) + -2(x + -5) = x + 5 (-1 * 7 + x * 7) + -2(x + -5) = x + 5 (-7 + 7x) + -2(x + -5) = x + 5 Reorder the terms: -7 + 7x + -2(-5 + x) = x + 5 -7 + 7x + (-5 * -2 + x * -2) = x + 5 -7 + 7x + (10 + -2x) = x + 5 Reorder the terms: -7 + 10 + 7x + -2x = x + 5 Combine like terms: -7 + 10 = 3 3 + 7x + -2x = x + 5 Combine like terms: 7x + -2x = 5x 3 + 5x = x + 5 Reorder the terms: 3 + 5x = 5 + x Solving 3 + 5x = 5 + 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. 3 + 5x + -1x = 5 + x + -1x Combine like terms: 5x + -1x = 4x 3 + 4x = 5 + x + -1x Combine like terms: x + -1x = 0 3 + 4x = 5 + 0 3 + 4x = 5 Add '-3' to each side of the equation. 3 + -3 + 4x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 5 + -3 4x = 5 + -3 Combine like terms: 5 + -3 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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