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Simplifying 3x + -4 + -4x + 7 = 3x + -1 + -2x + -2 Reorder the terms: -4 + 7 + 3x + -4x = 3x + -1 + -2x + -2 Combine like terms: -4 + 7 = 3 3 + 3x + -4x = 3x + -1 + -2x + -2 Combine like terms: 3x + -4x = -1x 3 + -1x = 3x + -1 + -2x + -2 Reorder the terms: 3 + -1x = -1 + -2 + 3x + -2x Combine like terms: -1 + -2 = -3 3 + -1x = -3 + 3x + -2x Combine like terms: 3x + -2x = 1x 3 + -1x = -3 + 1x Solving 3 + -1x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -1x + -1x = -3 + 1x + -1x Combine like terms: -1x + -1x = -2x 3 + -2x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -2x = -3 + 0 3 + -2x = -3 Add '-3' to each side of the equation. 3 + -3 + -2x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -3 + -3 -2x = -3 + -3 Combine like terms: -3 + -3 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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