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Simplifying 75 = 7x + 6(-1x + 11) Reorder the terms: 75 = 7x + 6(11 + -1x) 75 = 7x + (11 * 6 + -1x * 6) 75 = 7x + (66 + -6x) Reorder the terms: 75 = 66 + 7x + -6x Combine like terms: 7x + -6x = 1x 75 = 66 + 1x Solving 75 = 66 + 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. 75 + -1x = 66 + 1x + -1x Combine like terms: 1x + -1x = 0 75 + -1x = 66 + 0 75 + -1x = 66 Add '-75' to each side of the equation. 75 + -75 + -1x = 66 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 66 + -75 -1x = 66 + -75 Combine like terms: 66 + -75 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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