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Simplifying -5x + -2 = -3(x + 12) Reorder the terms: -2 + -5x = -3(x + 12) Reorder the terms: -2 + -5x = -3(12 + x) -2 + -5x = (12 * -3 + x * -3) -2 + -5x = (-36 + -3x) Solving -2 + -5x = -36 + -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. -2 + -5x + 3x = -36 + -3x + 3x Combine like terms: -5x + 3x = -2x -2 + -2x = -36 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -2x = -36 + 0 -2 + -2x = -36 Add '2' to each side of the equation. -2 + 2 + -2x = -36 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -36 + 2 -2x = -36 + 2 Combine like terms: -36 + 2 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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