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Simplifying 22 + -1(x + -7) = 6x + -6 Reorder the terms: 22 + -1(-7 + x) = 6x + -6 22 + (-7 * -1 + x * -1) = 6x + -6 22 + (7 + -1x) = 6x + -6 Combine like terms: 22 + 7 = 29 29 + -1x = 6x + -6 Reorder the terms: 29 + -1x = -6 + 6x Solving 29 + -1x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + -1x + -6x = -6 + 6x + -6x Combine like terms: -1x + -6x = -7x 29 + -7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + -7x = -6 + 0 29 + -7x = -6 Add '-29' to each side of the equation. 29 + -29 + -7x = -6 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = -6 + -29 -7x = -6 + -29 Combine like terms: -6 + -29 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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