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Simplifying 2(1 + -1x) + 6 = 2(x + 1) (1 * 2 + -1x * 2) + 6 = 2(x + 1) (2 + -2x) + 6 = 2(x + 1) Reorder the terms: 2 + 6 + -2x = 2(x + 1) Combine like terms: 2 + 6 = 8 8 + -2x = 2(x + 1) Reorder the terms: 8 + -2x = 2(1 + x) 8 + -2x = (1 * 2 + x * 2) 8 + -2x = (2 + 2x) Solving 8 + -2x = 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 + -2x + -2x = 2 + 2x + -2x Combine like terms: -2x + -2x = -4x 8 + -4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -4x = 2 + 0 8 + -4x = 2 Add '-8' to each side of the equation. 8 + -8 + -4x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 2 + -8 -4x = 2 + -8 Combine like terms: 2 + -8 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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