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Simplifying 5(x + -4) + -3(3x + -1) = 1 Reorder the terms: 5(-4 + x) + -3(3x + -1) = 1 (-4 * 5 + x * 5) + -3(3x + -1) = 1 (-20 + 5x) + -3(3x + -1) = 1 Reorder the terms: -20 + 5x + -3(-1 + 3x) = 1 -20 + 5x + (-1 * -3 + 3x * -3) = 1 -20 + 5x + (3 + -9x) = 1 Reorder the terms: -20 + 3 + 5x + -9x = 1 Combine like terms: -20 + 3 = -17 -17 + 5x + -9x = 1 Combine like terms: 5x + -9x = -4x -17 + -4x = 1 Solving -17 + -4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 1 + 17 -4x = 1 + 17 Combine like terms: 1 + 17 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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