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Simplifying -2(x + 4) = 6x + -2 + 2(5x + 2) Reorder the terms: -2(4 + x) = 6x + -2 + 2(5x + 2) (4 * -2 + x * -2) = 6x + -2 + 2(5x + 2) (-8 + -2x) = 6x + -2 + 2(5x + 2) Reorder the terms: -8 + -2x = 6x + -2 + 2(2 + 5x) -8 + -2x = 6x + -2 + (2 * 2 + 5x * 2) -8 + -2x = 6x + -2 + (4 + 10x) Reorder the terms: -8 + -2x = -2 + 4 + 6x + 10x Combine like terms: -2 + 4 = 2 -8 + -2x = 2 + 6x + 10x Combine like terms: 6x + 10x = 16x -8 + -2x = 2 + 16x Solving -8 + -2x = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + -2x + -16x = 2 + 16x + -16x Combine like terms: -2x + -16x = -18x -8 + -18x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -18x = 2 + 0 -8 + -18x = 2 Add '8' to each side of the equation. -8 + 8 + -18x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 2 + 8 -18x = 2 + 8 Combine like terms: 2 + 8 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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