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Simplifying 12 + 10x = 5(6x + 15) + x Reorder the terms: 12 + 10x = 5(15 + 6x) + x 12 + 10x = (15 * 5 + 6x * 5) + x 12 + 10x = (75 + 30x) + x Combine like terms: 30x + x = 31x 12 + 10x = 75 + 31x Solving 12 + 10x = 75 + 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 + 10x + -31x = 75 + 31x + -31x Combine like terms: 10x + -31x = -21x 12 + -21x = 75 + 31x + -31x Combine like terms: 31x + -31x = 0 12 + -21x = 75 + 0 12 + -21x = 75 Add '-12' to each side of the equation. 12 + -12 + -21x = 75 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = 75 + -12 -21x = 75 + -12 Combine like terms: 75 + -12 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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