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Simplifying -10(x + -3) = 12(x + 2) Reorder the terms: -10(-3 + x) = 12(x + 2) (-3 * -10 + x * -10) = 12(x + 2) (30 + -10x) = 12(x + 2) Reorder the terms: 30 + -10x = 12(2 + x) 30 + -10x = (2 * 12 + x * 12) 30 + -10x = (24 + 12x) Solving 30 + -10x = 24 + 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. 30 + -10x + -12x = 24 + 12x + -12x Combine like terms: -10x + -12x = -22x 30 + -22x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -22x = 24 + 0 30 + -22x = 24 Add '-30' to each side of the equation. 30 + -30 + -22x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -22x = 24 + -30 -22x = 24 + -30 Combine like terms: 24 + -30 = -6 -22x = -6 Divide each side by '-22'. x = 0.2727272727 Simplifying x = 0.2727272727
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