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Simplifying 5(2x + 6) = 2(x + 6) Reorder the terms: 5(6 + 2x) = 2(x + 6) (6 * 5 + 2x * 5) = 2(x + 6) (30 + 10x) = 2(x + 6) Reorder the terms: 30 + 10x = 2(6 + x) 30 + 10x = (6 * 2 + x * 2) 30 + 10x = (12 + 2x) Solving 30 + 10x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 10x + -2x = 12 + 2x + -2x Combine like terms: 10x + -2x = 8x 30 + 8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 8x = 12 + 0 30 + 8x = 12 Add '-30' to each side of the equation. 30 + -30 + 8x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 12 + -30 8x = 12 + -30 Combine like terms: 12 + -30 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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