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Simplifying 3(3x + -1) = -1(15x + 99) Reorder the terms: 3(-1 + 3x) = -1(15x + 99) (-1 * 3 + 3x * 3) = -1(15x + 99) (-3 + 9x) = -1(15x + 99) Reorder the terms: -3 + 9x = -1(99 + 15x) -3 + 9x = (99 * -1 + 15x * -1) -3 + 9x = (-99 + -15x) Solving -3 + 9x = -99 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -3 + 9x + 15x = -99 + -15x + 15x Combine like terms: 9x + 15x = 24x -3 + 24x = -99 + -15x + 15x Combine like terms: -15x + 15x = 0 -3 + 24x = -99 + 0 -3 + 24x = -99 Add '3' to each side of the equation. -3 + 3 + 24x = -99 + 3 Combine like terms: -3 + 3 = 0 0 + 24x = -99 + 3 24x = -99 + 3 Combine like terms: -99 + 3 = -96 24x = -96 Divide each side by '24'. x = -4 Simplifying x = -4
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