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Simplifying 5(x + -4) + -3(x + -3) = 1 Reorder the terms: 5(-4 + x) + -3(x + -3) = 1 (-4 * 5 + x * 5) + -3(x + -3) = 1 (-20 + 5x) + -3(x + -3) = 1 Reorder the terms: -20 + 5x + -3(-3 + x) = 1 -20 + 5x + (-3 * -3 + x * -3) = 1 -20 + 5x + (9 + -3x) = 1 Reorder the terms: -20 + 9 + 5x + -3x = 1 Combine like terms: -20 + 9 = -11 -11 + 5x + -3x = 1 Combine like terms: 5x + -3x = 2x -11 + 2x = 1 Solving -11 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 1 + 11 2x = 1 + 11 Combine like terms: 1 + 11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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