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Simplifying 2(2x + 2) = 6(x + 5) Reorder the terms: 2(2 + 2x) = 6(x + 5) (2 * 2 + 2x * 2) = 6(x + 5) (4 + 4x) = 6(x + 5) Reorder the terms: 4 + 4x = 6(5 + x) 4 + 4x = (5 * 6 + x * 6) 4 + 4x = (30 + 6x) Solving 4 + 4x = 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. 4 + 4x + -6x = 30 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 30 + 0 4 + -2x = 30 Add '-4' to each side of the equation. 4 + -4 + -2x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 30 + -4 -2x = 30 + -4 Combine like terms: 30 + -4 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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