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Simplifying 3 + -6x + 5 + -2x = 2(1 + -1x) Reorder the terms: 3 + 5 + -6x + -2x = 2(1 + -1x) Combine like terms: 3 + 5 = 8 8 + -6x + -2x = 2(1 + -1x) Combine like terms: -6x + -2x = -8x 8 + -8x = 2(1 + -1x) 8 + -8x = (1 * 2 + -1x * 2) 8 + -8x = (2 + -2x) Solving 8 + -8x = 2 + -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. 8 + -8x + 2x = 2 + -2x + 2x Combine like terms: -8x + 2x = -6x 8 + -6x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -6x = 2 + 0 8 + -6x = 2 Add '-8' to each side of the equation. 8 + -8 + -6x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 2 + -8 -6x = 2 + -8 Combine like terms: 2 + -8 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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