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Simplifying 5(x + 8) = 3(x + 4) Reorder the terms: 5(8 + x) = 3(x + 4) (8 * 5 + x * 5) = 3(x + 4) (40 + 5x) = 3(x + 4) Reorder the terms: 40 + 5x = 3(4 + x) 40 + 5x = (4 * 3 + x * 3) 40 + 5x = (12 + 3x) Solving 40 + 5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 40 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 40 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 2x = 12 + 0 40 + 2x = 12 Add '-40' to each side of the equation. 40 + -40 + 2x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 12 + -40 2x = 12 + -40 Combine like terms: 12 + -40 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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