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Simplifying 2(4x + -1) + 2(2x + 2) = 2(2x + 1) + 2(x + 2) Reorder the terms: 2(-1 + 4x) + 2(2x + 2) = 2(2x + 1) + 2(x + 2) (-1 * 2 + 4x * 2) + 2(2x + 2) = 2(2x + 1) + 2(x + 2) (-2 + 8x) + 2(2x + 2) = 2(2x + 1) + 2(x + 2) Reorder the terms: -2 + 8x + 2(2 + 2x) = 2(2x + 1) + 2(x + 2) -2 + 8x + (2 * 2 + 2x * 2) = 2(2x + 1) + 2(x + 2) -2 + 8x + (4 + 4x) = 2(2x + 1) + 2(x + 2) Reorder the terms: -2 + 4 + 8x + 4x = 2(2x + 1) + 2(x + 2) Combine like terms: -2 + 4 = 2 2 + 8x + 4x = 2(2x + 1) + 2(x + 2) Combine like terms: 8x + 4x = 12x 2 + 12x = 2(2x + 1) + 2(x + 2) Reorder the terms: 2 + 12x = 2(1 + 2x) + 2(x + 2) 2 + 12x = (1 * 2 + 2x * 2) + 2(x + 2) 2 + 12x = (2 + 4x) + 2(x + 2) Reorder the terms: 2 + 12x = 2 + 4x + 2(2 + x) 2 + 12x = 2 + 4x + (2 * 2 + x * 2) 2 + 12x = 2 + 4x + (4 + 2x) Reorder the terms: 2 + 12x = 2 + 4 + 4x + 2x Combine like terms: 2 + 4 = 6 2 + 12x = 6 + 4x + 2x Combine like terms: 4x + 2x = 6x 2 + 12x = 6 + 6x Solving 2 + 12x = 6 + 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. 2 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x 2 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 6x = 6 + 0 2 + 6x = 6 Add '-2' to each side of the equation. 2 + -2 + 6x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 6 + -2 6x = 6 + -2 Combine like terms: 6 + -2 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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