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Simplifying -4(x + 1) = 2x + -6 + 2(5x + 4) Reorder the terms: -4(1 + x) = 2x + -6 + 2(5x + 4) (1 * -4 + x * -4) = 2x + -6 + 2(5x + 4) (-4 + -4x) = 2x + -6 + 2(5x + 4) Reorder the terms: -4 + -4x = 2x + -6 + 2(4 + 5x) -4 + -4x = 2x + -6 + (4 * 2 + 5x * 2) -4 + -4x = 2x + -6 + (8 + 10x) Reorder the terms: -4 + -4x = -6 + 8 + 2x + 10x Combine like terms: -6 + 8 = 2 -4 + -4x = 2 + 2x + 10x Combine like terms: 2x + 10x = 12x -4 + -4x = 2 + 12x Solving -4 + -4x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -4x + -12x = 2 + 12x + -12x Combine like terms: -4x + -12x = -16x -4 + -16x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -16x = 2 + 0 -4 + -16x = 2 Add '4' to each side of the equation. -4 + 4 + -16x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 2 + 4 -16x = 2 + 4 Combine like terms: 2 + 4 = 6 -16x = 6 Divide each side by '-16'. x = -0.375 Simplifying x = -0.375
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