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Simplifying 5x + 3(-5 + 5x) = 1 + -1x 5x + (-5 * 3 + 5x * 3) = 1 + -1x 5x + (-15 + 15x) = 1 + -1x Reorder the terms: -15 + 5x + 15x = 1 + -1x Combine like terms: 5x + 15x = 20x -15 + 20x = 1 + -1x Solving -15 + 20x = 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. -15 + 20x + x = 1 + -1x + x Combine like terms: 20x + x = 21x -15 + 21x = 1 + -1x + x Combine like terms: -1x + x = 0 -15 + 21x = 1 + 0 -15 + 21x = 1 Add '15' to each side of the equation. -15 + 15 + 21x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 21x = 1 + 15 21x = 1 + 15 Combine like terms: 1 + 15 = 16 21x = 16 Divide each side by '21'. x = 0.7619047619 Simplifying x = 0.7619047619
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