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Simplifying -1 + -7x = 36 + -6(7 + x) -1 + -7x = 36 + (7 * -6 + x * -6) -1 + -7x = 36 + (-42 + -6x) Combine like terms: 36 + -42 = -6 -1 + -7x = -6 + -6x Solving -1 + -7x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -7x + 6x = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x -1 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + -1x = -6 + 0 -1 + -1x = -6 Add '1' to each side of the equation. -1 + 1 + -1x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -6 + 1 -1x = -6 + 1 Combine like terms: -6 + 1 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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