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Simplifying -37 = 7x + 6(-2x + -2) Reorder the terms: -37 = 7x + 6(-2 + -2x) -37 = 7x + (-2 * 6 + -2x * 6) -37 = 7x + (-12 + -12x) Reorder the terms: -37 = -12 + 7x + -12x Combine like terms: 7x + -12x = -5x -37 = -12 + -5x Solving -37 = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -37 + 5x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -37 + 5x = -12 + 0 -37 + 5x = -12 Add '37' to each side of the equation. -37 + 37 + 5x = -12 + 37 Combine like terms: -37 + 37 = 0 0 + 5x = -12 + 37 5x = -12 + 37 Combine like terms: -12 + 37 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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