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Simplifying 3(x + -2) + 9(x + 1) + 5(1 + 2x) + 2(3x + 4) = 0 Reorder the terms: 3(-2 + x) + 9(x + 1) + 5(1 + 2x) + 2(3x + 4) = 0 (-2 * 3 + x * 3) + 9(x + 1) + 5(1 + 2x) + 2(3x + 4) = 0 (-6 + 3x) + 9(x + 1) + 5(1 + 2x) + 2(3x + 4) = 0 Reorder the terms: -6 + 3x + 9(1 + x) + 5(1 + 2x) + 2(3x + 4) = 0 -6 + 3x + (1 * 9 + x * 9) + 5(1 + 2x) + 2(3x + 4) = 0 -6 + 3x + (9 + 9x) + 5(1 + 2x) + 2(3x + 4) = 0 -6 + 3x + 9 + 9x + (1 * 5 + 2x * 5) + 2(3x + 4) = 0 -6 + 3x + 9 + 9x + (5 + 10x) + 2(3x + 4) = 0 Reorder the terms: -6 + 3x + 9 + 9x + 5 + 10x + 2(4 + 3x) = 0 -6 + 3x + 9 + 9x + 5 + 10x + (4 * 2 + 3x * 2) = 0 -6 + 3x + 9 + 9x + 5 + 10x + (8 + 6x) = 0 Reorder the terms: -6 + 9 + 5 + 8 + 3x + 9x + 10x + 6x = 0 Combine like terms: -6 + 9 = 3 3 + 5 + 8 + 3x + 9x + 10x + 6x = 0 Combine like terms: 3 + 5 = 8 8 + 8 + 3x + 9x + 10x + 6x = 0 Combine like terms: 8 + 8 = 16 16 + 3x + 9x + 10x + 6x = 0 Combine like terms: 3x + 9x = 12x 16 + 12x + 10x + 6x = 0 Combine like terms: 12x + 10x = 22x 16 + 22x + 6x = 0 Combine like terms: 22x + 6x = 28x 16 + 28x = 0 Solving 16 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 28x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 28x = 0 + -16 28x = 0 + -16 Combine like terms: 0 + -16 = -16 28x = -16 Divide each side by '28'. x = -0.5714285714 Simplifying x = -0.5714285714
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