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Simplifying 4x + -6x + 2 = -4x + 12 + -2x Reorder the terms: 2 + 4x + -6x = -4x + 12 + -2x Combine like terms: 4x + -6x = -2x 2 + -2x = -4x + 12 + -2x Reorder the terms: 2 + -2x = 12 + -4x + -2x Combine like terms: -4x + -2x = -6x 2 + -2x = 12 + -6x Solving 2 + -2x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -2x + 6x = 12 + -6x + 6x Combine like terms: -2x + 6x = 4x 2 + 4x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 4x = 12 + 0 2 + 4x = 12 Add '-2' to each side of the equation. 2 + -2 + 4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 12 + -2 4x = 12 + -2 Combine like terms: 12 + -2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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