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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 = -1x 4 + -1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = -6 + 0 4 + -1x = -6 Add '-4' to each side of the equation. 4 + -4 + -1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -6 + -4 -1x = -6 + -4 Combine like terms: -6 + -4 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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