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Simplifying 6x + 3(2x + -6) = 10x + 16 Reorder the terms: 6x + 3(-6 + 2x) = 10x + 16 6x + (-6 * 3 + 2x * 3) = 10x + 16 6x + (-18 + 6x) = 10x + 16 Reorder the terms: -18 + 6x + 6x = 10x + 16 Combine like terms: 6x + 6x = 12x -18 + 12x = 10x + 16 Reorder the terms: -18 + 12x = 16 + 10x Solving -18 + 12x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = 16 + 0 -18 + 2x = 16 Add '18' to each side of the equation. -18 + 18 + 2x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 16 + 18 2x = 16 + 18 Combine like terms: 16 + 18 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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