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Simplifying 5(-2x + 8) = -1x + 22 Reorder the terms: 5(8 + -2x) = -1x + 22 (8 * 5 + -2x * 5) = -1x + 22 (40 + -10x) = -1x + 22 Reorder the terms: 40 + -10x = 22 + -1x Solving 40 + -10x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + -10x + x = 22 + -1x + x Combine like terms: -10x + x = -9x 40 + -9x = 22 + -1x + x Combine like terms: -1x + x = 0 40 + -9x = 22 + 0 40 + -9x = 22 Add '-40' to each side of the equation. 40 + -40 + -9x = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = 22 + -40 -9x = 22 + -40 Combine like terms: 22 + -40 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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