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Simplifying -56(-2 + 3x) + -1(-4x + 5) + -1(3x + 2) = 33 (-2 * -56 + 3x * -56) + -1(-4x + 5) + -1(3x + 2) = 33 (112 + -168x) + -1(-4x + 5) + -1(3x + 2) = 33 Reorder the terms: 112 + -168x + -1(5 + -4x) + -1(3x + 2) = 33 112 + -168x + (5 * -1 + -4x * -1) + -1(3x + 2) = 33 112 + -168x + (-5 + 4x) + -1(3x + 2) = 33 Reorder the terms: 112 + -168x + -5 + 4x + -1(2 + 3x) = 33 112 + -168x + -5 + 4x + (2 * -1 + 3x * -1) = 33 112 + -168x + -5 + 4x + (-2 + -3x) = 33 Reorder the terms: 112 + -5 + -2 + -168x + 4x + -3x = 33 Combine like terms: 112 + -5 = 107 107 + -2 + -168x + 4x + -3x = 33 Combine like terms: 107 + -2 = 105 105 + -168x + 4x + -3x = 33 Combine like terms: -168x + 4x = -164x 105 + -164x + -3x = 33 Combine like terms: -164x + -3x = -167x 105 + -167x = 33 Solving 105 + -167x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -167x = 33 + -105 Combine like terms: 105 + -105 = 0 0 + -167x = 33 + -105 -167x = 33 + -105 Combine like terms: 33 + -105 = -72 -167x = -72 Divide each side by '-167'. x = 0.4311377246 Simplifying x = 0.4311377246
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