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Simplifying -2(x + 4) = 8x + -8 + 2(3x + 7) Reorder the terms: -2(4 + x) = 8x + -8 + 2(3x + 7) (4 * -2 + x * -2) = 8x + -8 + 2(3x + 7) (-8 + -2x) = 8x + -8 + 2(3x + 7) Reorder the terms: -8 + -2x = 8x + -8 + 2(7 + 3x) -8 + -2x = 8x + -8 + (7 * 2 + 3x * 2) -8 + -2x = 8x + -8 + (14 + 6x) Reorder the terms: -8 + -2x = -8 + 14 + 8x + 6x Combine like terms: -8 + 14 = 6 -8 + -2x = 6 + 8x + 6x Combine like terms: 8x + 6x = 14x -8 + -2x = 6 + 14x Solving -8 + -2x = 6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + -2x + -14x = 6 + 14x + -14x Combine like terms: -2x + -14x = -16x -8 + -16x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -16x = 6 + 0 -8 + -16x = 6 Add '8' to each side of the equation. -8 + 8 + -16x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 6 + 8 -16x = 6 + 8 Combine like terms: 6 + 8 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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