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