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Simplifying 2x + 8(1 + x) = 6x 2x + (1 * 8 + x * 8) = 6x 2x + (8 + 8x) = 6x Reorder the terms: 8 + 2x + 8x = 6x Combine like terms: 2x + 8x = 10x 8 + 10x = 6x Solving 8 + 10x = 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. 8 + 10x + -6x = 6x + -6x Combine like terms: 10x + -6x = 4x 8 + 4x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + 4x = 0 Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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