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Simplifying -49 + 3(10x + -7) = 0.33(33 + 6x) + -3 + 2x Reorder the terms: -49 + 3(-7 + 10x) = 0.33(33 + 6x) + -3 + 2x -49 + (-7 * 3 + 10x * 3) = 0.33(33 + 6x) + -3 + 2x -49 + (-21 + 30x) = 0.33(33 + 6x) + -3 + 2x Combine like terms: -49 + -21 = -70 -70 + 30x = 0.33(33 + 6x) + -3 + 2x -70 + 30x = (33 * 0.33 + 6x * 0.33) + -3 + 2x -70 + 30x = (10.89 + 1.98x) + -3 + 2x Reorder the terms: -70 + 30x = 10.89 + -3 + 1.98x + 2x Combine like terms: 10.89 + -3 = 7.89 -70 + 30x = 7.89 + 1.98x + 2x Combine like terms: 1.98x + 2x = 3.98x -70 + 30x = 7.89 + 3.98x Solving -70 + 30x = 7.89 + 3.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.98x' to each side of the equation. -70 + 30x + -3.98x = 7.89 + 3.98x + -3.98x Combine like terms: 30x + -3.98x = 26.02x -70 + 26.02x = 7.89 + 3.98x + -3.98x Combine like terms: 3.98x + -3.98x = 0.00 -70 + 26.02x = 7.89 + 0.00 -70 + 26.02x = 7.89 Add '70' to each side of the equation. -70 + 70 + 26.02x = 7.89 + 70 Combine like terms: -70 + 70 = 0 0 + 26.02x = 7.89 + 70 26.02x = 7.89 + 70 Combine like terms: 7.89 + 70 = 77.89 26.02x = 77.89 Divide each side by '26.02'. x = 2.993466564 Simplifying x = 2.993466564
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