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Simplifying 4(x + 5) = 3(x + 4) Reorder the terms: 4(5 + x) = 3(x + 4) (5 * 4 + x * 4) = 3(x + 4) (20 + 4x) = 3(x + 4) Reorder the terms: 20 + 4x = 3(4 + x) 20 + 4x = (4 * 3 + x * 3) 20 + 4x = (12 + 3x) Solving 20 + 4x = 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. 20 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 20 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x = 12 + 0 20 + 1x = 12 Add '-20' to each side of the equation. 20 + -20 + 1x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 12 + -20 1x = 12 + -20 Combine like terms: 12 + -20 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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