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Simplifying 15x + -3(2x + -1) = 3(x + -5) Reorder the terms: 15x + -3(-1 + 2x) = 3(x + -5) 15x + (-1 * -3 + 2x * -3) = 3(x + -5) 15x + (3 + -6x) = 3(x + -5) Reorder the terms: 3 + 15x + -6x = 3(x + -5) Combine like terms: 15x + -6x = 9x 3 + 9x = 3(x + -5) Reorder the terms: 3 + 9x = 3(-5 + x) 3 + 9x = (-5 * 3 + x * 3) 3 + 9x = (-15 + 3x) Solving 3 + 9x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 9x + -3x = -15 + 3x + -3x Combine like terms: 9x + -3x = 6x 3 + 6x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 6x = -15 + 0 3 + 6x = -15 Add '-3' to each side of the equation. 3 + -3 + 6x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -15 + -3 6x = -15 + -3 Combine like terms: -15 + -3 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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