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Simplifying -4(x + 2) = 8(x + 5) Reorder the terms: -4(2 + x) = 8(x + 5) (2 * -4 + x * -4) = 8(x + 5) (-8 + -4x) = 8(x + 5) Reorder the terms: -8 + -4x = 8(5 + x) -8 + -4x = (5 * 8 + x * 8) -8 + -4x = (40 + 8x) Solving -8 + -4x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + -4x + -8x = 40 + 8x + -8x Combine like terms: -4x + -8x = -12x -8 + -12x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -12x = 40 + 0 -8 + -12x = 40 Add '8' to each side of the equation. -8 + 8 + -12x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 40 + 8 -12x = 40 + 8 Combine like terms: 40 + 8 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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