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Simplifying 3(3x + -7) = 2(8 + -3x) Reorder the terms: 3(-7 + 3x) = 2(8 + -3x) (-7 * 3 + 3x * 3) = 2(8 + -3x) (-21 + 9x) = 2(8 + -3x) -21 + 9x = (8 * 2 + -3x * 2) -21 + 9x = (16 + -6x) Solving -21 + 9x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + 9x + 6x = 16 + -6x + 6x Combine like terms: 9x + 6x = 15x -21 + 15x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 15x = 16 + 0 -21 + 15x = 16 Add '21' to each side of the equation. -21 + 21 + 15x = 16 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 16 + 21 15x = 16 + 21 Combine like terms: 16 + 21 = 37 15x = 37 Divide each side by '15'. x = 2.466666667 Simplifying x = 2.466666667
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