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Simplifying -37 = -6x + 5(-1x + 8) Reorder the terms: -37 = -6x + 5(8 + -1x) -37 = -6x + (8 * 5 + -1x * 5) -37 = -6x + (40 + -5x) Reorder the terms: -37 = 40 + -6x + -5x Combine like terms: -6x + -5x = -11x -37 = 40 + -11x Solving -37 = 40 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -37 + 11x = 40 + -11x + 11x Combine like terms: -11x + 11x = 0 -37 + 11x = 40 + 0 -37 + 11x = 40 Add '37' to each side of the equation. -37 + 37 + 11x = 40 + 37 Combine like terms: -37 + 37 = 0 0 + 11x = 40 + 37 11x = 40 + 37 Combine like terms: 40 + 37 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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