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Simplifying -6(-7 + -1x) = 37 + 7x (-7 * -6 + -1x * -6) = 37 + 7x (42 + 6x) = 37 + 7x Solving 42 + 6x = 37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 6x + -7x = 37 + 7x + -7x Combine like terms: 6x + -7x = -1x 42 + -1x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -1x = 37 + 0 42 + -1x = 37 Add '-42' to each side of the equation. 42 + -42 + -1x = 37 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 37 + -42 -1x = 37 + -42 Combine like terms: 37 + -42 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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