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