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Simplifying 75(-4x + 2) = -3(x + -1) Reorder the terms: 75(2 + -4x) = -3(x + -1) (2 * 75 + -4x * 75) = -3(x + -1) (150 + -300x) = -3(x + -1) Reorder the terms: 150 + -300x = -3(-1 + x) 150 + -300x = (-1 * -3 + x * -3) 150 + -300x = (3 + -3x) Solving 150 + -300x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 150 + -300x + 3x = 3 + -3x + 3x Combine like terms: -300x + 3x = -297x 150 + -297x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 150 + -297x = 3 + 0 150 + -297x = 3 Add '-150' to each side of the equation. 150 + -150 + -297x = 3 + -150 Combine like terms: 150 + -150 = 0 0 + -297x = 3 + -150 -297x = 3 + -150 Combine like terms: 3 + -150 = -147 -297x = -147 Divide each side by '-297'. x = 0.4949494949 Simplifying x = 0.4949494949
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