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Simplifying 6(1 + -1x) = 2(1 + 2x) + 6 (1 * 6 + -1x * 6) = 2(1 + 2x) + 6 (6 + -6x) = 2(1 + 2x) + 6 6 + -6x = (1 * 2 + 2x * 2) + 6 6 + -6x = (2 + 4x) + 6 Reorder the terms: 6 + -6x = 2 + 6 + 4x Combine like terms: 2 + 6 = 8 6 + -6x = 8 + 4x Solving 6 + -6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -6x + -4x = 8 + 4x + -4x Combine like terms: -6x + -4x = -10x 6 + -10x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -10x = 8 + 0 6 + -10x = 8 Add '-6' to each side of the equation. 6 + -6 + -10x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 8 + -6 -10x = 8 + -6 Combine like terms: 8 + -6 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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