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Simplifying -5(x + -6) + -1(3x + -7) = -9x Reorder the terms: -5(-6 + x) + -1(3x + -7) = -9x (-6 * -5 + x * -5) + -1(3x + -7) = -9x (30 + -5x) + -1(3x + -7) = -9x Reorder the terms: 30 + -5x + -1(-7 + 3x) = -9x 30 + -5x + (-7 * -1 + 3x * -1) = -9x 30 + -5x + (7 + -3x) = -9x Reorder the terms: 30 + 7 + -5x + -3x = -9x Combine like terms: 30 + 7 = 37 37 + -5x + -3x = -9x Combine like terms: -5x + -3x = -8x 37 + -8x = -9x Solving 37 + -8x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 37 + -8x + 9x = -9x + 9x Combine like terms: -8x + 9x = 1x 37 + 1x = -9x + 9x Combine like terms: -9x + 9x = 0 37 + 1x = 0 Add '-37' to each side of the equation. 37 + -37 + 1x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 0 + -37 1x = 0 + -37 Combine like terms: 0 + -37 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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