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Simplifying -12x + -10(x + -6) = -12(2x + -4) Reorder the terms: -12x + -10(-6 + x) = -12(2x + -4) -12x + (-6 * -10 + x * -10) = -12(2x + -4) -12x + (60 + -10x) = -12(2x + -4) Reorder the terms: 60 + -12x + -10x = -12(2x + -4) Combine like terms: -12x + -10x = -22x 60 + -22x = -12(2x + -4) Reorder the terms: 60 + -22x = -12(-4 + 2x) 60 + -22x = (-4 * -12 + 2x * -12) 60 + -22x = (48 + -24x) Solving 60 + -22x = 48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 60 + -22x + 24x = 48 + -24x + 24x Combine like terms: -22x + 24x = 2x 60 + 2x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 60 + 2x = 48 + 0 60 + 2x = 48 Add '-60' to each side of the equation. 60 + -60 + 2x = 48 + -60 Combine like terms: 60 + -60 = 0 0 + 2x = 48 + -60 2x = 48 + -60 Combine like terms: 48 + -60 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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