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Simplifying 2(x + -1) + 3(2x + 1) = 2x Reorder the terms: 2(-1 + x) + 3(2x + 1) = 2x (-1 * 2 + x * 2) + 3(2x + 1) = 2x (-2 + 2x) + 3(2x + 1) = 2x Reorder the terms: -2 + 2x + 3(1 + 2x) = 2x -2 + 2x + (1 * 3 + 2x * 3) = 2x -2 + 2x + (3 + 6x) = 2x Reorder the terms: -2 + 3 + 2x + 6x = 2x Combine like terms: -2 + 3 = 1 1 + 2x + 6x = 2x Combine like terms: 2x + 6x = 8x 1 + 8x = 2x Solving 1 + 8x = 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. 1 + 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 1 + 6x = 2x + -2x Combine like terms: 2x + -2x = 0 1 + 6x = 0 Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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