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Simplifying x + 7 = 5(x + -1) Reorder the terms: 7 + x = 5(x + -1) Reorder the terms: 7 + x = 5(-1 + x) 7 + x = (-1 * 5 + x * 5) 7 + x = (-5 + 5x) Solving 7 + x = -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. 7 + x + -5x = -5 + 5x + -5x Combine like terms: x + -5x = -4x 7 + -4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = -5 + 0 7 + -4x = -5 Add '-7' to each side of the equation. 7 + -7 + -4x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -5 + -7 -4x = -5 + -7 Combine like terms: -5 + -7 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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