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Simplifying 5(x + 4) + 13 = 4(x + 5) Reorder the terms: 5(4 + x) + 13 = 4(x + 5) (4 * 5 + x * 5) + 13 = 4(x + 5) (20 + 5x) + 13 = 4(x + 5) Reorder the terms: 20 + 13 + 5x = 4(x + 5) Combine like terms: 20 + 13 = 33 33 + 5x = 4(x + 5) Reorder the terms: 33 + 5x = 4(5 + x) 33 + 5x = (5 * 4 + x * 4) 33 + 5x = (20 + 4x) Solving 33 + 5x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 33 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x 33 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + 1x = 20 + 0 33 + 1x = 20 Add '-33' to each side of the equation. 33 + -33 + 1x = 20 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 20 + -33 1x = 20 + -33 Combine like terms: 20 + -33 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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