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Simplifying 4(x + 5) = 6(x + 6) Reorder the terms: 4(5 + x) = 6(x + 6) (5 * 4 + x * 4) = 6(x + 6) (20 + 4x) = 6(x + 6) Reorder the terms: 20 + 4x = 6(6 + x) 20 + 4x = (6 * 6 + x * 6) 20 + 4x = (36 + 6x) Solving 20 + 4x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 4x + -6x = 36 + 6x + -6x Combine like terms: 4x + -6x = -2x 20 + -2x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -2x = 36 + 0 20 + -2x = 36 Add '-20' to each side of the equation. 20 + -20 + -2x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 36 + -20 -2x = 36 + -20 Combine like terms: 36 + -20 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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