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Simplifying 4x + 3 + -2x = -1x + 12 + -1 Reorder the terms: 3 + 4x + -2x = -1x + 12 + -1 Combine like terms: 4x + -2x = 2x 3 + 2x = -1x + 12 + -1 Reorder the terms: 3 + 2x = 12 + -1 + -1x Combine like terms: 12 + -1 = 11 3 + 2x = 11 + -1x Solving 3 + 2x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 2x + x = 11 + -1x + x Combine like terms: 2x + x = 3x 3 + 3x = 11 + -1x + x Combine like terms: -1x + x = 0 3 + 3x = 11 + 0 3 + 3x = 11 Add '-3' to each side of the equation. 3 + -3 + 3x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 11 + -3 3x = 11 + -3 Combine like terms: 11 + -3 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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