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Simplifying 5x + -2(x + 1) = 2(x + 6) Reorder the terms: 5x + -2(1 + x) = 2(x + 6) 5x + (1 * -2 + x * -2) = 2(x + 6) 5x + (-2 + -2x) = 2(x + 6) Reorder the terms: -2 + 5x + -2x = 2(x + 6) Combine like terms: 5x + -2x = 3x -2 + 3x = 2(x + 6) Reorder the terms: -2 + 3x = 2(6 + x) -2 + 3x = (6 * 2 + x * 2) -2 + 3x = (12 + 2x) Solving -2 + 3x = 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. -2 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 12 + 0 -2 + 1x = 12 Add '2' to each side of the equation. -2 + 2 + 1x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 12 + 2 1x = 12 + 2 Combine like terms: 12 + 2 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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