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Simplifying 3(x + -7) = 2(x + 5) Reorder the terms: 3(-7 + x) = 2(x + 5) (-7 * 3 + x * 3) = 2(x + 5) (-21 + 3x) = 2(x + 5) Reorder the terms: -21 + 3x = 2(5 + x) -21 + 3x = (5 * 2 + x * 2) -21 + 3x = (10 + 2x) Solving -21 + 3x = 10 + 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 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 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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