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Simplifying x + 34 = 5(x + -1) + -5 Reorder the terms: 34 + x = 5(x + -1) + -5 Reorder the terms: 34 + x = 5(-1 + x) + -5 34 + x = (-1 * 5 + x * 5) + -5 34 + x = (-5 + 5x) + -5 Reorder the terms: 34 + x = -5 + -5 + 5x Combine like terms: -5 + -5 = -10 34 + x = -10 + 5x Solving 34 + x = -10 + 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. 34 + x + -5x = -10 + 5x + -5x Combine like terms: x + -5x = -4x 34 + -4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -4x = -10 + 0 34 + -4x = -10 Add '-34' to each side of the equation. 34 + -34 + -4x = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = -10 + -34 -4x = -10 + -34 Combine like terms: -10 + -34 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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