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Simplifying 7(x + -3) = 2(3x + 5) Reorder the terms: 7(-3 + x) = 2(3x + 5) (-3 * 7 + x * 7) = 2(3x + 5) (-21 + 7x) = 2(3x + 5) Reorder the terms: -21 + 7x = 2(5 + 3x) -21 + 7x = (5 * 2 + 3x * 2) -21 + 7x = (10 + 6x) Solving -21 + 7x = 10 + 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 = 10 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = 10 + 0 -21 + 1x = 10 Add '21' to each side of the equation. -21 + 21 + 1x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 10 + 21 1x = 10 + 21 Combine like terms: 10 + 21 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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