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Simplifying 5(3x + -4) + -1(1 + -3x) = -75 Reorder the terms: 5(-4 + 3x) + -1(1 + -3x) = -75 (-4 * 5 + 3x * 5) + -1(1 + -3x) = -75 (-20 + 15x) + -1(1 + -3x) = -75 -20 + 15x + (1 * -1 + -3x * -1) = -75 -20 + 15x + (-1 + 3x) = -75 Reorder the terms: -20 + -1 + 15x + 3x = -75 Combine like terms: -20 + -1 = -21 -21 + 15x + 3x = -75 Combine like terms: 15x + 3x = 18x -21 + 18x = -75 Solving -21 + 18x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 18x = -75 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = -75 + 21 18x = -75 + 21 Combine like terms: -75 + 21 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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