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Simplifying 3(4x + 1) = 48.5 + -1x Reorder the terms: 3(1 + 4x) = 48.5 + -1x (1 * 3 + 4x * 3) = 48.5 + -1x (3 + 12x) = 48.5 + -1x Solving 3 + 12x = 48.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 12x + x = 48.5 + -1x + x Combine like terms: 12x + x = 13x 3 + 13x = 48.5 + -1x + x Combine like terms: -1x + x = 0 3 + 13x = 48.5 + 0 3 + 13x = 48.5 Add '-3' to each side of the equation. 3 + -3 + 13x = 48.5 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 48.5 + -3 13x = 48.5 + -3 Combine like terms: 48.5 + -3 = 45.5 13x = 45.5 Divide each side by '13'. x = 3.5 Simplifying x = 3.5
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