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Simplifying 3(x + -7) + 6x = 3(x + 2) + 27 Reorder the terms: 3(-7 + x) + 6x = 3(x + 2) + 27 (-7 * 3 + x * 3) + 6x = 3(x + 2) + 27 (-21 + 3x) + 6x = 3(x + 2) + 27 Combine like terms: 3x + 6x = 9x -21 + 9x = 3(x + 2) + 27 Reorder the terms: -21 + 9x = 3(2 + x) + 27 -21 + 9x = (2 * 3 + x * 3) + 27 -21 + 9x = (6 + 3x) + 27 Reorder the terms: -21 + 9x = 6 + 27 + 3x Combine like terms: 6 + 27 = 33 -21 + 9x = 33 + 3x Solving -21 + 9x = 33 + 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 + 9x + -3x = 33 + 3x + -3x Combine like terms: 9x + -3x = 6x -21 + 6x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 6x = 33 + 0 -21 + 6x = 33 Add '21' to each side of the equation. -21 + 21 + 6x = 33 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 33 + 21 6x = 33 + 21 Combine like terms: 33 + 21 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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