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Simplifying 15x + -1(2x + -1) = 3(3x + -5) Reorder the terms: 15x + -1(-1 + 2x) = 3(3x + -5) 15x + (-1 * -1 + 2x * -1) = 3(3x + -5) 15x + (1 + -2x) = 3(3x + -5) Reorder the terms: 1 + 15x + -2x = 3(3x + -5) Combine like terms: 15x + -2x = 13x 1 + 13x = 3(3x + -5) Reorder the terms: 1 + 13x = 3(-5 + 3x) 1 + 13x = (-5 * 3 + 3x * 3) 1 + 13x = (-15 + 9x) Solving 1 + 13x = -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. 1 + 13x + -9x = -15 + 9x + -9x Combine like terms: 13x + -9x = 4x 1 + 4x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + 4x = -15 + 0 1 + 4x = -15 Add '-1' to each side of the equation. 1 + -1 + 4x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -15 + -1 4x = -15 + -1 Combine like terms: -15 + -1 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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