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Simplifying 3(2x + -1) + -1(6 + -5x) = 2(x + 4) Reorder the terms: 3(-1 + 2x) + -1(6 + -5x) = 2(x + 4) (-1 * 3 + 2x * 3) + -1(6 + -5x) = 2(x + 4) (-3 + 6x) + -1(6 + -5x) = 2(x + 4) -3 + 6x + (6 * -1 + -5x * -1) = 2(x + 4) -3 + 6x + (-6 + 5x) = 2(x + 4) Reorder the terms: -3 + -6 + 6x + 5x = 2(x + 4) Combine like terms: -3 + -6 = -9 -9 + 6x + 5x = 2(x + 4) Combine like terms: 6x + 5x = 11x -9 + 11x = 2(x + 4) Reorder the terms: -9 + 11x = 2(4 + x) -9 + 11x = (4 * 2 + x * 2) -9 + 11x = (8 + 2x) Solving -9 + 11x = 8 + 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. -9 + 11x + -2x = 8 + 2x + -2x Combine like terms: 11x + -2x = 9x -9 + 9x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 9x = 8 + 0 -9 + 9x = 8 Add '9' to each side of the equation. -9 + 9 + 9x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 8 + 9 9x = 8 + 9 Combine like terms: 8 + 9 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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