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Simplifying 4x + 34 = 5x + -7 Reorder the terms: 34 + 4x = 5x + -7 Reorder the terms: 34 + 4x = -7 + 5x Solving 34 + 4x = -7 + 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 + 4x + -5x = -7 + 5x + -5x Combine like terms: 4x + -5x = -1x 34 + -1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -1x = -7 + 0 34 + -1x = -7 Add '-34' to each side of the equation. 34 + -34 + -1x = -7 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = -7 + -34 -1x = -7 + -34 Combine like terms: -7 + -34 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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