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Simplifying -5(-3x + 1) + -3x + -4 = -3x + -39 Reorder the terms: -5(1 + -3x) + -3x + -4 = -3x + -39 (1 * -5 + -3x * -5) + -3x + -4 = -3x + -39 (-5 + 15x) + -3x + -4 = -3x + -39 Reorder the terms: -5 + -4 + 15x + -3x = -3x + -39 Combine like terms: -5 + -4 = -9 -9 + 15x + -3x = -3x + -39 Combine like terms: 15x + -3x = 12x -9 + 12x = -3x + -39 Reorder the terms: -9 + 12x = -39 + -3x Solving -9 + 12x = -39 + -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. -9 + 12x + 3x = -39 + -3x + 3x Combine like terms: 12x + 3x = 15x -9 + 15x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 15x = -39 + 0 -9 + 15x = -39 Add '9' to each side of the equation. -9 + 9 + 15x = -39 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = -39 + 9 15x = -39 + 9 Combine like terms: -39 + 9 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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