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Simplifying 4x + -8 + (-3x) + 12 = -2x + 6 Reorder the terms: -8 + 12 + 4x + (-3x) = -2x + 6 Combine like terms: -8 + 12 = 4 4 + 4x + (-3x) = -2x + 6 Combine like terms: 4x + (-3x) = 1x 4 + 1x = -2x + 6 Reorder the terms: 4 + 1x = 6 + -2x Solving 4 + 1x = 6 + -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. 4 + 1x + 2x = 6 + -2x + 2x Combine like terms: 1x + 2x = 3x 4 + 3x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 3x = 6 + 0 4 + 3x = 6 Add '-4' to each side of the equation. 4 + -4 + 3x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 6 + -4 3x = 6 + -4 Combine like terms: 6 + -4 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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