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Simplifying (3x + 1) * 4 = x + 37 Reorder the terms: (1 + 3x) * 4 = x + 37 Reorder the terms for easier multiplication: 4(1 + 3x) = x + 37 (1 * 4 + 3x * 4) = x + 37 (4 + 12x) = x + 37 Reorder the terms: 4 + 12x = 37 + x Solving 4 + 12x = 37 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 12x + -1x = 37 + x + -1x Combine like terms: 12x + -1x = 11x 4 + 11x = 37 + x + -1x Combine like terms: x + -1x = 0 4 + 11x = 37 + 0 4 + 11x = 37 Add '-4' to each side of the equation. 4 + -4 + 11x = 37 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 37 + -4 11x = 37 + -4 Combine like terms: 37 + -4 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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