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Simplifying 3(x + -1) = 5(3 + -4x) + 5 Reorder the terms: 3(-1 + x) = 5(3 + -4x) + 5 (-1 * 3 + x * 3) = 5(3 + -4x) + 5 (-3 + 3x) = 5(3 + -4x) + 5 -3 + 3x = (3 * 5 + -4x * 5) + 5 -3 + 3x = (15 + -20x) + 5 Reorder the terms: -3 + 3x = 15 + 5 + -20x Combine like terms: 15 + 5 = 20 -3 + 3x = 20 + -20x Solving -3 + 3x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -3 + 3x + 20x = 20 + -20x + 20x Combine like terms: 3x + 20x = 23x -3 + 23x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 -3 + 23x = 20 + 0 -3 + 23x = 20 Add '3' to each side of the equation. -3 + 3 + 23x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 23x = 20 + 3 23x = 20 + 3 Combine like terms: 20 + 3 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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