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Simplifying 4(2x + 1) = 6 + -1x Reorder the terms: 4(1 + 2x) = 6 + -1x (1 * 4 + 2x * 4) = 6 + -1x (4 + 8x) = 6 + -1x Solving 4 + 8x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 8x + x = 6 + -1x + x Combine like terms: 8x + x = 9x 4 + 9x = 6 + -1x + x Combine like terms: -1x + x = 0 4 + 9x = 6 + 0 4 + 9x = 6 Add '-4' to each side of the equation. 4 + -4 + 9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 6 + -4 9x = 6 + -4 Combine like terms: 6 + -4 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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