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Simplifying 7(2 + -1x) = 7 + -1(2 + -1x) (2 * 7 + -1x * 7) = 7 + -1(2 + -1x) (14 + -7x) = 7 + -1(2 + -1x) 14 + -7x = 7 + (2 * -1 + -1x * -1) 14 + -7x = 7 + (-2 + 1x) Combine like terms: 7 + -2 = 5 14 + -7x = 5 + 1x Solving 14 + -7x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + -7x + -1x = 5 + 1x + -1x Combine like terms: -7x + -1x = -8x 14 + -8x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 14 + -8x = 5 + 0 14 + -8x = 5 Add '-14' to each side of the equation. 14 + -14 + -8x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 5 + -14 -8x = 5 + -14 Combine like terms: 5 + -14 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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