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Simplifying 2(4x + 1) + 2(1 + -5x) = 2 + x Reorder the terms: 2(1 + 4x) + 2(1 + -5x) = 2 + x (1 * 2 + 4x * 2) + 2(1 + -5x) = 2 + x (2 + 8x) + 2(1 + -5x) = 2 + x 2 + 8x + (1 * 2 + -5x * 2) = 2 + x 2 + 8x + (2 + -10x) = 2 + x Reorder the terms: 2 + 2 + 8x + -10x = 2 + x Combine like terms: 2 + 2 = 4 4 + 8x + -10x = 2 + x Combine like terms: 8x + -10x = -2x 4 + -2x = 2 + x Solving 4 + -2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -2x + -1x = 2 + x + -1x Combine like terms: -2x + -1x = -3x 4 + -3x = 2 + x + -1x Combine like terms: x + -1x = 0 4 + -3x = 2 + 0 4 + -3x = 2 Add '-4' to each side of the equation. 4 + -4 + -3x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 2 + -4 -3x = 2 + -4 Combine like terms: 2 + -4 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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