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Simplifying 3(4x + 5) = 1(8x + 4) Reorder the terms: 3(5 + 4x) = 1(8x + 4) (5 * 3 + 4x * 3) = 1(8x + 4) (15 + 12x) = 1(8x + 4) Reorder the terms: 15 + 12x = 1(4 + 8x) 15 + 12x = (4 * 1 + 8x * 1) 15 + 12x = (4 + 8x) Solving 15 + 12x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 12x + -8x = 4 + 8x + -8x Combine like terms: 12x + -8x = 4x 15 + 4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 4x = 4 + 0 15 + 4x = 4 Add '-15' to each side of the equation. 15 + -15 + 4x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 4 + -15 4x = 4 + -15 Combine like terms: 4 + -15 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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