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Simplifying 1(4x + 3) = 4(2x + 5) Reorder the terms: 1(3 + 4x) = 4(2x + 5) (3 * 1 + 4x * 1) = 4(2x + 5) (3 + 4x) = 4(2x + 5) Reorder the terms: 3 + 4x = 4(5 + 2x) 3 + 4x = (5 * 4 + 2x * 4) 3 + 4x = (20 + 8x) Solving 3 + 4x = 20 + 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. 3 + 4x + -8x = 20 + 8x + -8x Combine like terms: 4x + -8x = -4x 3 + -4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -4x = 20 + 0 3 + -4x = 20 Add '-3' to each side of the equation. 3 + -3 + -4x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 20 + -3 -4x = 20 + -3 Combine like terms: 20 + -3 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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