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Simplifying 4(2x + 5) = 6(x + 5) Reorder the terms: 4(5 + 2x) = 6(x + 5) (5 * 4 + 2x * 4) = 6(x + 5) (20 + 8x) = 6(x + 5) Reorder the terms: 20 + 8x = 6(5 + x) 20 + 8x = (5 * 6 + x * 6) 20 + 8x = (30 + 6x) Solving 20 + 8x = 30 + 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 + 8x + -6x = 30 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = 30 + 0 20 + 2x = 30 Add '-20' to each side of the equation. 20 + -20 + 2x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 30 + -20 2x = 30 + -20 Combine like terms: 30 + -20 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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