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Simplifying 10(x + 4) = 12(x + -2) Reorder the terms: 10(4 + x) = 12(x + -2) (4 * 10 + x * 10) = 12(x + -2) (40 + 10x) = 12(x + -2) Reorder the terms: 40 + 10x = 12(-2 + x) 40 + 10x = (-2 * 12 + x * 12) 40 + 10x = (-24 + 12x) Solving 40 + 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. 40 + 10x + -12x = -24 + 12x + -12x Combine like terms: 10x + -12x = -2x 40 + -2x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -2x = -24 + 0 40 + -2x = -24 Add '-40' to each side of the equation. 40 + -40 + -2x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = -24 + -40 -2x = -24 + -40 Combine like terms: -24 + -40 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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