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Simplifying -2(5 + 6x) = 4(x + 2) (5 * -2 + 6x * -2) = 4(x + 2) (-10 + -12x) = 4(x + 2) Reorder the terms: -10 + -12x = 4(2 + x) -10 + -12x = (2 * 4 + x * 4) -10 + -12x = (8 + 4x) Solving -10 + -12x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -12x + -4x = 8 + 4x + -4x Combine like terms: -12x + -4x = -16x -10 + -16x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -16x = 8 + 0 -10 + -16x = 8 Add '10' to each side of the equation. -10 + 10 + -16x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -16x = 8 + 10 -16x = 8 + 10 Combine like terms: 8 + 10 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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