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Simplifying 7(x + -3) = 3(2x + 6) Reorder the terms: 7(-3 + x) = 3(2x + 6) (-3 * 7 + x * 7) = 3(2x + 6) (-21 + 7x) = 3(2x + 6) Reorder the terms: -21 + 7x = 3(6 + 2x) -21 + 7x = (6 * 3 + 2x * 3) -21 + 7x = (18 + 6x) Solving -21 + 7x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 7x + -6x = 18 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = 18 + 0 -21 + 1x = 18 Add '21' to each side of the equation. -21 + 21 + 1x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 18 + 21 1x = 18 + 21 Combine like terms: 18 + 21 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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