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Simplifying 7x + 7(3 + -1x) = 2x + -9 7x + (3 * 7 + -1x * 7) = 2x + -9 7x + (21 + -7x) = 2x + -9 Reorder the terms: 21 + 7x + -7x = 2x + -9 Combine like terms: 7x + -7x = 0 21 + 0 = 2x + -9 21 = 2x + -9 Reorder the terms: 21 = -9 + 2x Solving 21 = -9 + 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. 21 + -2x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -2x = -9 + 0 21 + -2x = -9 Add '-21' to each side of the equation. 21 + -21 + -2x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -9 + -21 -2x = -9 + -21 Combine like terms: -9 + -21 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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