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Simplifying 4x + 6 + -3x = 9 + 2x + -6 Reorder the terms: 6 + 4x + -3x = 9 + 2x + -6 Combine like terms: 4x + -3x = 1x 6 + 1x = 9 + 2x + -6 Reorder the terms: 6 + 1x = 9 + -6 + 2x Combine like terms: 9 + -6 = 3 6 + 1x = 3 + 2x Solving 6 + 1x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 1x + -2x = 3 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 3 + 0 6 + -1x = 3 Add '-6' to each side of the equation. 6 + -6 + -1x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 3 + -6 -1x = 3 + -6 Combine like terms: 3 + -6 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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