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Simplifying 2(4x + 2) + -2x = 9x + -1 Reorder the terms: 2(2 + 4x) + -2x = 9x + -1 (2 * 2 + 4x * 2) + -2x = 9x + -1 (4 + 8x) + -2x = 9x + -1 Combine like terms: 8x + -2x = 6x 4 + 6x = 9x + -1 Reorder the terms: 4 + 6x = -1 + 9x Solving 4 + 6x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 6x + -9x = -1 + 9x + -9x Combine like terms: 6x + -9x = -3x 4 + -3x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -3x = -1 + 0 4 + -3x = -1 Add '-4' to each side of the equation. 4 + -4 + -3x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -1 + -4 -3x = -1 + -4 Combine like terms: -1 + -4 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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