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Simplifying -1x + 7 = 5(5 + x) Reorder the terms: 7 + -1x = 5(5 + x) 7 + -1x = (5 * 5 + x * 5) 7 + -1x = (25 + 5x) Solving 7 + -1x = 25 + 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. 7 + -1x + -5x = 25 + 5x + -5x Combine like terms: -1x + -5x = -6x 7 + -6x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -6x = 25 + 0 7 + -6x = 25 Add '-7' to each side of the equation. 7 + -7 + -6x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 25 + -7 -6x = 25 + -7 Combine like terms: 25 + -7 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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