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Simplifying 7(1 + 6x) + -6 = -36 + 5x (1 * 7 + 6x * 7) + -6 = -36 + 5x (7 + 42x) + -6 = -36 + 5x Reorder the terms: 7 + -6 + 42x = -36 + 5x Combine like terms: 7 + -6 = 1 1 + 42x = -36 + 5x Solving 1 + 42x = -36 + 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. 1 + 42x + -5x = -36 + 5x + -5x Combine like terms: 42x + -5x = 37x 1 + 37x = -36 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 37x = -36 + 0 1 + 37x = -36 Add '-1' to each side of the equation. 1 + -1 + 37x = -36 + -1 Combine like terms: 1 + -1 = 0 0 + 37x = -36 + -1 37x = -36 + -1 Combine like terms: -36 + -1 = -37 37x = -37 Divide each side by '37'. x = -1 Simplifying x = -1
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