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Simplifying x + 6(x + -3) = 5(x + 2) Reorder the terms: x + 6(-3 + x) = 5(x + 2) x + (-3 * 6 + x * 6) = 5(x + 2) x + (-18 + 6x) = 5(x + 2) Reorder the terms: -18 + x + 6x = 5(x + 2) Combine like terms: x + 6x = 7x -18 + 7x = 5(x + 2) Reorder the terms: -18 + 7x = 5(2 + x) -18 + 7x = (2 * 5 + x * 5) -18 + 7x = (10 + 5x) Solving -18 + 7x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -18 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 2x = 10 + 0 -18 + 2x = 10 Add '18' to each side of the equation. -18 + 18 + 2x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 10 + 18 2x = 10 + 18 Combine like terms: 10 + 18 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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