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Simplifying 7(x + -2) = -2x + 49 Reorder the terms: 7(-2 + x) = -2x + 49 (-2 * 7 + x * 7) = -2x + 49 (-14 + 7x) = -2x + 49 Reorder the terms: -14 + 7x = 49 + -2x Solving -14 + 7x = 49 + -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. -14 + 7x + 2x = 49 + -2x + 2x Combine like terms: 7x + 2x = 9x -14 + 9x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 9x = 49 + 0 -14 + 9x = 49 Add '14' to each side of the equation. -14 + 14 + 9x = 49 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 49 + 14 9x = 49 + 14 Combine like terms: 49 + 14 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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