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Simplifying 2(x + 1) + -3(2x + -1) + 5(4 + -1x) = 0 Reorder the terms: 2(1 + x) + -3(2x + -1) + 5(4 + -1x) = 0 (1 * 2 + x * 2) + -3(2x + -1) + 5(4 + -1x) = 0 (2 + 2x) + -3(2x + -1) + 5(4 + -1x) = 0 Reorder the terms: 2 + 2x + -3(-1 + 2x) + 5(4 + -1x) = 0 2 + 2x + (-1 * -3 + 2x * -3) + 5(4 + -1x) = 0 2 + 2x + (3 + -6x) + 5(4 + -1x) = 0 2 + 2x + 3 + -6x + (4 * 5 + -1x * 5) = 0 2 + 2x + 3 + -6x + (20 + -5x) = 0 Reorder the terms: 2 + 3 + 20 + 2x + -6x + -5x = 0 Combine like terms: 2 + 3 = 5 5 + 20 + 2x + -6x + -5x = 0 Combine like terms: 5 + 20 = 25 25 + 2x + -6x + -5x = 0 Combine like terms: 2x + -6x = -4x 25 + -4x + -5x = 0 Combine like terms: -4x + -5x = -9x 25 + -9x = 0 Solving 25 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 0 + -25 -9x = 0 + -25 Combine like terms: 0 + -25 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778
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