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Simplifying -1 + -7x = 36x + 6(-7 + -1x) -1 + -7x = 36x + (-7 * 6 + -1x * 6) -1 + -7x = 36x + (-42 + -6x) Reorder the terms: -1 + -7x = -42 + 36x + -6x Combine like terms: 36x + -6x = 30x -1 + -7x = -42 + 30x Solving -1 + -7x = -42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -1 + -7x + -30x = -42 + 30x + -30x Combine like terms: -7x + -30x = -37x -1 + -37x = -42 + 30x + -30x Combine like terms: 30x + -30x = 0 -1 + -37x = -42 + 0 -1 + -37x = -42 Add '1' to each side of the equation. -1 + 1 + -37x = -42 + 1 Combine like terms: -1 + 1 = 0 0 + -37x = -42 + 1 -37x = -42 + 1 Combine like terms: -42 + 1 = -41 -37x = -41 Divide each side by '-37'. x = 1.108108108 Simplifying x = 1.108108108
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