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Simplifying 5x + -7x + 34 = 4x + 40 Reorder the terms: 34 + 5x + -7x = 4x + 40 Combine like terms: 5x + -7x = -2x 34 + -2x = 4x + 40 Reorder the terms: 34 + -2x = 40 + 4x Solving 34 + -2x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + -2x + -4x = 40 + 4x + -4x Combine like terms: -2x + -4x = -6x 34 + -6x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -6x = 40 + 0 34 + -6x = 40 Add '-34' to each side of the equation. 34 + -34 + -6x = 40 + -34 Combine like terms: 34 + -34 = 0 0 + -6x = 40 + -34 -6x = 40 + -34 Combine like terms: 40 + -34 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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