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Simplifying 67 + -1(7x + -22) = 70 + -1(11x + -111) Reorder the terms: 67 + -1(-22 + 7x) = 70 + -1(11x + -111) 67 + (-22 * -1 + 7x * -1) = 70 + -1(11x + -111) 67 + (22 + -7x) = 70 + -1(11x + -111) Combine like terms: 67 + 22 = 89 89 + -7x = 70 + -1(11x + -111) Reorder the terms: 89 + -7x = 70 + -1(-111 + 11x) 89 + -7x = 70 + (-111 * -1 + 11x * -1) 89 + -7x = 70 + (111 + -11x) Combine like terms: 70 + 111 = 181 89 + -7x = 181 + -11x Solving 89 + -7x = 181 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 89 + -7x + 11x = 181 + -11x + 11x Combine like terms: -7x + 11x = 4x 89 + 4x = 181 + -11x + 11x Combine like terms: -11x + 11x = 0 89 + 4x = 181 + 0 89 + 4x = 181 Add '-89' to each side of the equation. 89 + -89 + 4x = 181 + -89 Combine like terms: 89 + -89 = 0 0 + 4x = 181 + -89 4x = 181 + -89 Combine like terms: 181 + -89 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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