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Simplifying 7(x + -3) = 5x + -7 Reorder the terms: 7(-3 + x) = 5x + -7 (-3 * 7 + x * 7) = 5x + -7 (-21 + 7x) = 5x + -7 Reorder the terms: -21 + 7x = -7 + 5x Solving -21 + 7x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 7x + -5x = -7 + 5x + -5x Combine like terms: 7x + -5x = 2x -21 + 2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 2x = -7 + 0 -21 + 2x = -7 Add '21' to each side of the equation. -21 + 21 + 2x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -7 + 21 2x = -7 + 21 Combine like terms: -7 + 21 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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