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Simplifying -7(x + -6) + 8 = 7x + 6 Reorder the terms: -7(-6 + x) + 8 = 7x + 6 (-6 * -7 + x * -7) + 8 = 7x + 6 (42 + -7x) + 8 = 7x + 6 Reorder the terms: 42 + 8 + -7x = 7x + 6 Combine like terms: 42 + 8 = 50 50 + -7x = 7x + 6 Reorder the terms: 50 + -7x = 6 + 7x Solving 50 + -7x = 6 + 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. 50 + -7x + -7x = 6 + 7x + -7x Combine like terms: -7x + -7x = -14x 50 + -14x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 50 + -14x = 6 + 0 50 + -14x = 6 Add '-50' to each side of the equation. 50 + -50 + -14x = 6 + -50 Combine like terms: 50 + -50 = 0 0 + -14x = 6 + -50 -14x = 6 + -50 Combine like terms: 6 + -50 = -44 -14x = -44 Divide each side by '-14'. x = 3.142857143 Simplifying x = 3.142857143
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