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Simplifying -2(4 + 5x) + -12x = -10(8 + x) (4 * -2 + 5x * -2) + -12x = -10(8 + x) (-8 + -10x) + -12x = -10(8 + x) Combine like terms: -10x + -12x = -22x -8 + -22x = -10(8 + x) -8 + -22x = (8 * -10 + x * -10) -8 + -22x = (-80 + -10x) Solving -8 + -22x = -80 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + -22x + 10x = -80 + -10x + 10x Combine like terms: -22x + 10x = -12x -8 + -12x = -80 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + -12x = -80 + 0 -8 + -12x = -80 Add '8' to each side of the equation. -8 + 8 + -12x = -80 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = -80 + 8 -12x = -80 + 8 Combine like terms: -80 + 8 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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