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Simplifying 3(x + -7) = 2(x + 5) + -1x Reorder the terms: 3(-7 + x) = 2(x + 5) + -1x (-7 * 3 + x * 3) = 2(x + 5) + -1x (-21 + 3x) = 2(x + 5) + -1x Reorder the terms: -21 + 3x = 2(5 + x) + -1x -21 + 3x = (5 * 2 + x * 2) + -1x -21 + 3x = (10 + 2x) + -1x Combine like terms: 2x + -1x = 1x -21 + 3x = 10 + 1x Solving -21 + 3x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 3x + -1x = 10 + 1x + -1x Combine like terms: 3x + -1x = 2x -21 + 2x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + 2x = 10 + 0 -21 + 2x = 10 Add '21' to each side of the equation. -21 + 21 + 2x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 10 + 21 2x = 10 + 21 Combine like terms: 10 + 21 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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