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Simplifying 7 + -1(4x + -7) = 5 + -5x Reorder the terms: 7 + -1(-7 + 4x) = 5 + -5x 7 + (-7 * -1 + 4x * -1) = 5 + -5x 7 + (7 + -4x) = 5 + -5x Combine like terms: 7 + 7 = 14 14 + -4x = 5 + -5x Solving 14 + -4x = 5 + -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. 14 + -4x + 5x = 5 + -5x + 5x Combine like terms: -4x + 5x = 1x 14 + 1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 1x = 5 + 0 14 + 1x = 5 Add '-14' to each side of the equation. 14 + -14 + 1x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 5 + -14 1x = 5 + -14 Combine like terms: 5 + -14 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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