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Simplifying 3x + -4 + 7 = 4x + -4 + 5 Reorder the terms: -4 + 7 + 3x = 4x + -4 + 5 Combine like terms: -4 + 7 = 3 3 + 3x = 4x + -4 + 5 Reorder the terms: 3 + 3x = -4 + 5 + 4x Combine like terms: -4 + 5 = 1 3 + 3x = 1 + 4x Solving 3 + 3x = 1 + 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. 3 + 3x + -4x = 1 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 1 + 0 3 + -1x = 1 Add '-3' to each side of the equation. 3 + -3 + -1x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 1 + -3 -1x = 1 + -3 Combine like terms: 1 + -3 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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