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Simplifying 15x + -5(2x + -1) = 3(3x + -5) Reorder the terms: 15x + -5(-1 + 2x) = 3(3x + -5) 15x + (-1 * -5 + 2x * -5) = 3(3x + -5) 15x + (5 + -10x) = 3(3x + -5) Reorder the terms: 5 + 15x + -10x = 3(3x + -5) Combine like terms: 15x + -10x = 5x 5 + 5x = 3(3x + -5) Reorder the terms: 5 + 5x = 3(-5 + 3x) 5 + 5x = (-5 * 3 + 3x * 3) 5 + 5x = (-15 + 9x) Solving 5 + 5x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 5x + -9x = -15 + 9x + -9x Combine like terms: 5x + -9x = -4x 5 + -4x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -4x = -15 + 0 5 + -4x = -15 Add '-5' to each side of the equation. 5 + -5 + -4x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -15 + -5 -4x = -15 + -5 Combine like terms: -15 + -5 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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