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Simplifying 2x + -8 + 4(3x + 1) = -2(x + 9) Reorder the terms: 2x + -8 + 4(1 + 3x) = -2(x + 9) 2x + -8 + (1 * 4 + 3x * 4) = -2(x + 9) 2x + -8 + (4 + 12x) = -2(x + 9) Reorder the terms: -8 + 4 + 2x + 12x = -2(x + 9) Combine like terms: -8 + 4 = -4 -4 + 2x + 12x = -2(x + 9) Combine like terms: 2x + 12x = 14x -4 + 14x = -2(x + 9) Reorder the terms: -4 + 14x = -2(9 + x) -4 + 14x = (9 * -2 + x * -2) -4 + 14x = (-18 + -2x) Solving -4 + 14x = -18 + -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. -4 + 14x + 2x = -18 + -2x + 2x Combine like terms: 14x + 2x = 16x -4 + 16x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 16x = -18 + 0 -4 + 16x = -18 Add '4' to each side of the equation. -4 + 4 + 16x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = -18 + 4 16x = -18 + 4 Combine like terms: -18 + 4 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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