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Simplifying 7(6 + -1x) = -7(4 + -1x) (6 * 7 + -1x * 7) = -7(4 + -1x) (42 + -7x) = -7(4 + -1x) 42 + -7x = (4 * -7 + -1x * -7) 42 + -7x = (-28 + 7x) Solving 42 + -7x = -28 + 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 + -7x + -7x = -28 + 7x + -7x Combine like terms: -7x + -7x = -14x 42 + -14x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -14x = -28 + 0 42 + -14x = -28 Add '-42' to each side of the equation. 42 + -42 + -14x = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -14x = -28 + -42 -14x = -28 + -42 Combine like terms: -28 + -42 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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