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Simplifying 10x + 40 = 12x + -24 Reorder the terms: 40 + 10x = 12x + -24 Reorder the terms: 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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