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Simplifying 7x + 24 = 13x + (-12) + -3x Reorder the terms: 24 + 7x = 13x + (-12) + -3x 24 + 7x = 13x + -12 + -3x Reorder the terms: 24 + 7x = -12 + 13x + -3x Combine like terms: 13x + -3x = 10x 24 + 7x = -12 + 10x Solving 24 + 7x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 7x + -10x = -12 + 10x + -10x Combine like terms: 7x + -10x = -3x 24 + -3x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -3x = -12 + 0 24 + -3x = -12 Add '-24' to each side of the equation. 24 + -24 + -3x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -12 + -24 -3x = -12 + -24 Combine like terms: -12 + -24 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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