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Simplifying -1(x + -7) + 5 = -5x + 2 Reorder the terms: -1(-7 + x) + 5 = -5x + 2 (-7 * -1 + x * -1) + 5 = -5x + 2 (7 + -1x) + 5 = -5x + 2 Reorder the terms: 7 + 5 + -1x = -5x + 2 Combine like terms: 7 + 5 = 12 12 + -1x = -5x + 2 Reorder the terms: 12 + -1x = 2 + -5x Solving 12 + -1x = 2 + -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. 12 + -1x + 5x = 2 + -5x + 5x Combine like terms: -1x + 5x = 4x 12 + 4x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 4x = 2 + 0 12 + 4x = 2 Add '-12' to each side of the equation. 12 + -12 + 4x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 2 + -12 4x = 2 + -12 Combine like terms: 2 + -12 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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