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Simplifying 22 + -1(x + 6) = 6x + -5 Reorder the terms: 22 + -1(6 + x) = 6x + -5 22 + (6 * -1 + x * -1) = 6x + -5 22 + (-6 + -1x) = 6x + -5 Combine like terms: 22 + -6 = 16 16 + -1x = 6x + -5 Reorder the terms: 16 + -1x = -5 + 6x Solving 16 + -1x = -5 + 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. 16 + -1x + -6x = -5 + 6x + -6x Combine like terms: -1x + -6x = -7x 16 + -7x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -7x = -5 + 0 16 + -7x = -5 Add '-16' to each side of the equation. 16 + -16 + -7x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -5 + -16 -7x = -5 + -16 Combine like terms: -5 + -16 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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