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Simplifying 5(x + -3) + -1(x + -4) = 1 Reorder the terms: 5(-3 + x) + -1(x + -4) = 1 (-3 * 5 + x * 5) + -1(x + -4) = 1 (-15 + 5x) + -1(x + -4) = 1 Reorder the terms: -15 + 5x + -1(-4 + x) = 1 -15 + 5x + (-4 * -1 + x * -1) = 1 -15 + 5x + (4 + -1x) = 1 Reorder the terms: -15 + 4 + 5x + -1x = 1 Combine like terms: -15 + 4 = -11 -11 + 5x + -1x = 1 Combine like terms: 5x + -1x = 4x -11 + 4x = 1 Solving -11 + 4x = 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 + 4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 1 + 11 4x = 1 + 11 Combine like terms: 1 + 11 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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