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Simplifying 3x + -3 + 7 = 4x + 2 + -6 + -3x Reorder the terms: -3 + 7 + 3x = 4x + 2 + -6 + -3x Combine like terms: -3 + 7 = 4 4 + 3x = 4x + 2 + -6 + -3x Reorder the terms: 4 + 3x = 2 + -6 + 4x + -3x Combine like terms: 2 + -6 = -4 4 + 3x = -4 + 4x + -3x Combine like terms: 4x + -3x = 1x 4 + 3x = -4 + 1x Solving 4 + 3x = -4 + 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. 4 + 3x + -1x = -4 + 1x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 2x = -4 + 0 4 + 2x = -4 Add '-4' to each side of the equation. 4 + -4 + 2x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -4 + -4 2x = -4 + -4 Combine like terms: -4 + -4 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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