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Simplifying 4(2x + 1) + -3(2 + -1x) = 2x Reorder the terms: 4(1 + 2x) + -3(2 + -1x) = 2x (1 * 4 + 2x * 4) + -3(2 + -1x) = 2x (4 + 8x) + -3(2 + -1x) = 2x 4 + 8x + (2 * -3 + -1x * -3) = 2x 4 + 8x + (-6 + 3x) = 2x Reorder the terms: 4 + -6 + 8x + 3x = 2x Combine like terms: 4 + -6 = -2 -2 + 8x + 3x = 2x Combine like terms: 8x + 3x = 11x -2 + 11x = 2x Solving -2 + 11x = 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. -2 + 11x + -2x = 2x + -2x Combine like terms: 11x + -2x = 9x -2 + 9x = 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 9x = 0 Add '2' to each side of the equation. -2 + 2 + 9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 0 + 2 9x = 0 + 2 Combine like terms: 0 + 2 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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