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Simplifying 3(x + 1) = 34(x + 23) Reorder the terms: 3(1 + x) = 34(x + 23) (1 * 3 + x * 3) = 34(x + 23) (3 + 3x) = 34(x + 23) Reorder the terms: 3 + 3x = 34(23 + x) 3 + 3x = (23 * 34 + x * 34) 3 + 3x = (782 + 34x) Solving 3 + 3x = 782 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 3 + 3x + -34x = 782 + 34x + -34x Combine like terms: 3x + -34x = -31x 3 + -31x = 782 + 34x + -34x Combine like terms: 34x + -34x = 0 3 + -31x = 782 + 0 3 + -31x = 782 Add '-3' to each side of the equation. 3 + -3 + -31x = 782 + -3 Combine like terms: 3 + -3 = 0 0 + -31x = 782 + -3 -31x = 782 + -3 Combine like terms: 782 + -3 = 779 -31x = 779 Divide each side by '-31'. x = -25.12903226 Simplifying x = -25.12903226
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