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Simplifying 5x + 12 = 5x + 6(4 + -6x) Reorder the terms: 12 + 5x = 5x + 6(4 + -6x) 12 + 5x = 5x + (4 * 6 + -6x * 6) 12 + 5x = 5x + (24 + -36x) Reorder the terms: 12 + 5x = 24 + 5x + -36x Combine like terms: 5x + -36x = -31x 12 + 5x = 24 + -31x Solving 12 + 5x = 24 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 12 + 5x + 31x = 24 + -31x + 31x Combine like terms: 5x + 31x = 36x 12 + 36x = 24 + -31x + 31x Combine like terms: -31x + 31x = 0 12 + 36x = 24 + 0 12 + 36x = 24 Add '-12' to each side of the equation. 12 + -12 + 36x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 36x = 24 + -12 36x = 24 + -12 Combine like terms: 24 + -12 = 12 36x = 12 Divide each side by '36'. x = 0.3333333333 Simplifying x = 0.3333333333
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