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Simplifying 3(x + -7) = 23 + -3x + 2 Reorder the terms: 3(-7 + x) = 23 + -3x + 2 (-7 * 3 + x * 3) = 23 + -3x + 2 (-21 + 3x) = 23 + -3x + 2 Reorder the terms: -21 + 3x = 23 + 2 + -3x Combine like terms: 23 + 2 = 25 -21 + 3x = 25 + -3x Solving -21 + 3x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + 3x + 3x = 25 + -3x + 3x Combine like terms: 3x + 3x = 6x -21 + 6x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 6x = 25 + 0 -21 + 6x = 25 Add '21' to each side of the equation. -21 + 21 + 6x = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 25 + 21 6x = 25 + 21 Combine like terms: 25 + 21 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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