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Simplifying 5x + 4(3x + -5) = 1 + -1x Reorder the terms: 5x + 4(-5 + 3x) = 1 + -1x 5x + (-5 * 4 + 3x * 4) = 1 + -1x 5x + (-20 + 12x) = 1 + -1x Reorder the terms: -20 + 5x + 12x = 1 + -1x Combine like terms: 5x + 12x = 17x -20 + 17x = 1 + -1x Solving -20 + 17x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + 17x + x = 1 + -1x + x Combine like terms: 17x + x = 18x -20 + 18x = 1 + -1x + x Combine like terms: -1x + x = 0 -20 + 18x = 1 + 0 -20 + 18x = 1 Add '20' to each side of the equation. -20 + 20 + 18x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 1 + 20 18x = 1 + 20 Combine like terms: 1 + 20 = 21 18x = 21 Divide each side by '18'. x = 1.166666667 Simplifying x = 1.166666667
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