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Simplifying 7(x + -3) = 2(x + 7) Reorder the terms: 7(-3 + x) = 2(x + 7) (-3 * 7 + x * 7) = 2(x + 7) (-21 + 7x) = 2(x + 7) Reorder the terms: -21 + 7x = 2(7 + x) -21 + 7x = (7 * 2 + x * 2) -21 + 7x = (14 + 2x) Solving -21 + 7x = 14 + 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 + 7x + -2x = 14 + 2x + -2x Combine like terms: 7x + -2x = 5x -21 + 5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 5x = 14 + 0 -21 + 5x = 14 Add '21' to each side of the equation. -21 + 21 + 5x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 14 + 21 5x = 14 + 21 Combine like terms: 14 + 21 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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