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Simplifying 2(2x + 5) = 6(x + 1) Reorder the terms: 2(5 + 2x) = 6(x + 1) (5 * 2 + 2x * 2) = 6(x + 1) (10 + 4x) = 6(x + 1) Reorder the terms: 10 + 4x = 6(1 + x) 10 + 4x = (1 * 6 + x * 6) 10 + 4x = (6 + 6x) Solving 10 + 4x = 6 + 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 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x 10 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -2x = 6 + 0 10 + -2x = 6 Add '-10' to each side of the equation. 10 + -10 + -2x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 6 + -10 -2x = 6 + -10 Combine like terms: 6 + -10 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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