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Simplifying 5(3x + -2) + -3(3x + -7) = 33 Reorder the terms: 5(-2 + 3x) + -3(3x + -7) = 33 (-2 * 5 + 3x * 5) + -3(3x + -7) = 33 (-10 + 15x) + -3(3x + -7) = 33 Reorder the terms: -10 + 15x + -3(-7 + 3x) = 33 -10 + 15x + (-7 * -3 + 3x * -3) = 33 -10 + 15x + (21 + -9x) = 33 Reorder the terms: -10 + 21 + 15x + -9x = 33 Combine like terms: -10 + 21 = 11 11 + 15x + -9x = 33 Combine like terms: 15x + -9x = 6x 11 + 6x = 33 Solving 11 + 6x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 33 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 33 + -11 6x = 33 + -11 Combine like terms: 33 + -11 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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