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Simplifying 4x + 12 = 13x + 24 Reorder the terms: 12 + 4x = 13x + 24 Reorder the terms: 12 + 4x = 24 + 13x Solving 12 + 4x = 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 + 4x + -13x = 24 + 13x + -13x Combine like terms: 4x + -13x = -9x 12 + -9x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -9x = 24 + 0 12 + -9x = 24 Add '-12' to each side of the equation. 12 + -12 + -9x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 24 + -12 -9x = 24 + -12 Combine like terms: 24 + -12 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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