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Simplifying -3(4x + 5) + 75 = 7x Reorder the terms: -3(5 + 4x) + 75 = 7x (5 * -3 + 4x * -3) + 75 = 7x (-15 + -12x) + 75 = 7x Reorder the terms: -15 + 75 + -12x = 7x Combine like terms: -15 + 75 = 60 60 + -12x = 7x Solving 60 + -12x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 60 + -12x + -7x = 7x + -7x Combine like terms: -12x + -7x = -19x 60 + -19x = 7x + -7x Combine like terms: 7x + -7x = 0 60 + -19x = 0 Add '-60' to each side of the equation. 60 + -60 + -19x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -19x = 0 + -60 -19x = 0 + -60 Combine like terms: 0 + -60 = -60 -19x = -60 Divide each side by '-19'. x = 3.157894737 Simplifying x = 3.157894737
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