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Simplifying 3(x + -7) = 2(x + 8) Reorder the terms: 3(-7 + x) = 2(x + 8) (-7 * 3 + x * 3) = 2(x + 8) (-21 + 3x) = 2(x + 8) Reorder the terms: -21 + 3x = 2(8 + x) -21 + 3x = (8 * 2 + x * 2) -21 + 3x = (16 + 2x) Solving -21 + 3x = 16 + 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 = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = 16 + 0 -21 + 1x = 16 Add '21' to each side of the equation. -21 + 21 + 1x = 16 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 16 + 21 1x = 16 + 21 Combine like terms: 16 + 21 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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