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Simplifying 4x + 7 + -2x = 3 + 5x + -6 Reorder the terms: 7 + 4x + -2x = 3 + 5x + -6 Combine like terms: 4x + -2x = 2x 7 + 2x = 3 + 5x + -6 Reorder the terms: 7 + 2x = 3 + -6 + 5x Combine like terms: 3 + -6 = -3 7 + 2x = -3 + 5x Solving 7 + 2x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 2x + -5x = -3 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = -3 + 0 7 + -3x = -3 Add '-7' to each side of the equation. 7 + -7 + -3x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -3 + -7 -3x = -3 + -7 Combine like terms: -3 + -7 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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