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Simplifying 6(2x + -3) = 2(x + 5) Reorder the terms: 6(-3 + 2x) = 2(x + 5) (-3 * 6 + 2x * 6) = 2(x + 5) (-18 + 12x) = 2(x + 5) Reorder the terms: -18 + 12x = 2(5 + x) -18 + 12x = (5 * 2 + x * 2) -18 + 12x = (10 + 2x) Solving -18 + 12x = 10 + 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. -18 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x -18 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 10x = 10 + 0 -18 + 10x = 10 Add '18' to each side of the equation. -18 + 18 + 10x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 10 + 18 10x = 10 + 18 Combine like terms: 10 + 18 = 28 10x = 28 Divide each side by '10'. x = 2.8 Simplifying x = 2.8
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