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Simplifying 12 + 3x = 8(3x + 5) + 7x Reorder the terms: 12 + 3x = 8(5 + 3x) + 7x 12 + 3x = (5 * 8 + 3x * 8) + 7x 12 + 3x = (40 + 24x) + 7x Combine like terms: 24x + 7x = 31x 12 + 3x = 40 + 31x Solving 12 + 3x = 40 + 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 + 3x + -31x = 40 + 31x + -31x Combine like terms: 3x + -31x = -28x 12 + -28x = 40 + 31x + -31x Combine like terms: 31x + -31x = 0 12 + -28x = 40 + 0 12 + -28x = 40 Add '-12' to each side of the equation. 12 + -12 + -28x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -28x = 40 + -12 -28x = 40 + -12 Combine like terms: 40 + -12 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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