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Simplifying 2 + 2(4x + -9) = -2(5x + -1) + 2x Reorder the terms: 2 + 2(-9 + 4x) = -2(5x + -1) + 2x 2 + (-9 * 2 + 4x * 2) = -2(5x + -1) + 2x 2 + (-18 + 8x) = -2(5x + -1) + 2x Combine like terms: 2 + -18 = -16 -16 + 8x = -2(5x + -1) + 2x Reorder the terms: -16 + 8x = -2(-1 + 5x) + 2x -16 + 8x = (-1 * -2 + 5x * -2) + 2x -16 + 8x = (2 + -10x) + 2x Combine like terms: -10x + 2x = -8x -16 + 8x = 2 + -8x Solving -16 + 8x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 8x + 8x = 2 + -8x + 8x Combine like terms: 8x + 8x = 16x -16 + 16x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 16x = 2 + 0 -16 + 16x = 2 Add '16' to each side of the equation. -16 + 16 + 16x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = 2 + 16 16x = 2 + 16 Combine like terms: 2 + 16 = 18 16x = 18 Divide each side by '16'. x = 1.125 Simplifying x = 1.125
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