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Simplifying 7 + -8(-7 + -6x) = 22 + 7x 7 + (-7 * -8 + -6x * -8) = 22 + 7x 7 + (56 + 48x) = 22 + 7x Combine like terms: 7 + 56 = 63 63 + 48x = 22 + 7x Solving 63 + 48x = 22 + 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. 63 + 48x + -7x = 22 + 7x + -7x Combine like terms: 48x + -7x = 41x 63 + 41x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 63 + 41x = 22 + 0 63 + 41x = 22 Add '-63' to each side of the equation. 63 + -63 + 41x = 22 + -63 Combine like terms: 63 + -63 = 0 0 + 41x = 22 + -63 41x = 22 + -63 Combine like terms: 22 + -63 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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