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