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Simplifying 4(x + 5) = 3(x + 6) Reorder the terms: 4(5 + x) = 3(x + 6) (5 * 4 + x * 4) = 3(x + 6) (20 + 4x) = 3(x + 6) Reorder the terms: 20 + 4x = 3(6 + x) 20 + 4x = (6 * 3 + x * 3) 20 + 4x = (18 + 3x) Solving 20 + 4x = 18 + 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 = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x 20 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x = 18 + 0 20 + 1x = 18 Add '-20' to each side of the equation. 20 + -20 + 1x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 18 + -20 1x = 18 + -20 Combine like terms: 18 + -20 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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