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Simplifying 3(x + -2) = x + 7(2) Reorder the terms: 3(-2 + x) = x + 7(2) (-2 * 3 + x * 3) = x + 7(2) (-6 + 3x) = x + 7(2) Multiply 7 * 2 -6 + 3x = x + 14 Reorder the terms: -6 + 3x = 14 + x Solving -6 + 3x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x = 14 + x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 14 + x + -1x Combine like terms: x + -1x = 0 -6 + 2x = 14 + 0 -6 + 2x = 14 Add '6' to each side of the equation. -6 + 6 + 2x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 14 + 6 2x = 14 + 6 Combine like terms: 14 + 6 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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