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