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Simplifying 2x + -1(8x + -6) = 2x + -22 Reorder the terms: 2x + -1(-6 + 8x) = 2x + -22 2x + (-6 * -1 + 8x * -1) = 2x + -22 2x + (6 + -8x) = 2x + -22 Reorder the terms: 6 + 2x + -8x = 2x + -22 Combine like terms: 2x + -8x = -6x 6 + -6x = 2x + -22 Reorder the terms: 6 + -6x = -22 + 2x Solving 6 + -6x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -6x + -2x = -22 + 2x + -2x Combine like terms: -6x + -2x = -8x 6 + -8x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -8x = -22 + 0 6 + -8x = -22 Add '-6' to each side of the equation. 6 + -6 + -8x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -22 + -6 -8x = -22 + -6 Combine like terms: -22 + -6 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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