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Simplifying 2(4x + 1) + -2x = 9x + 1 Reorder the terms: 2(1 + 4x) + -2x = 9x + 1 (1 * 2 + 4x * 2) + -2x = 9x + 1 (2 + 8x) + -2x = 9x + 1 Combine like terms: 8x + -2x = 6x 2 + 6x = 9x + 1 Reorder the terms: 2 + 6x = 1 + 9x Solving 2 + 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. 2 + 6x + -9x = 1 + 9x + -9x Combine like terms: 6x + -9x = -3x 2 + -3x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -3x = 1 + 0 2 + -3x = 1 Add '-2' to each side of the equation. 2 + -2 + -3x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 1 + -2 -3x = 1 + -2 Combine like terms: 1 + -2 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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