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Simplifying 5 + -5x = -7(1 + -1x) 5 + -5x = (1 * -7 + -1x * -7) 5 + -5x = (-7 + 7x) Solving 5 + -5x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -5x + -7x = -7 + 7x + -7x Combine like terms: -5x + -7x = -12x 5 + -12x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -12x = -7 + 0 5 + -12x = -7 Add '-5' to each side of the equation. 5 + -5 + -12x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -7 + -5 -12x = -7 + -5 Combine like terms: -7 + -5 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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