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Simplifying 10x + 12 = 13x + -24 Reorder the terms: 12 + 10x = 13x + -24 Reorder the terms: 12 + 10x = -24 + 13x Solving 12 + 10x = -24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 10x + -13x = -24 + 13x + -13x Combine like terms: 10x + -13x = -3x 12 + -3x = -24 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -3x = -24 + 0 12 + -3x = -24 Add '-12' to each side of the equation. 12 + -12 + -3x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -24 + -12 -3x = -24 + -12 Combine like terms: -24 + -12 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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