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Simplifying -5(3x + -4) + 22x + -8x = 41 Reorder the terms: -5(-4 + 3x) + 22x + -8x = 41 (-4 * -5 + 3x * -5) + 22x + -8x = 41 (20 + -15x) + 22x + -8x = 41 Combine like terms: -15x + 22x = 7x 20 + 7x + -8x = 41 Combine like terms: 7x + -8x = -1x 20 + -1x = 41 Solving 20 + -1x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 41 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 41 + -20 -1x = 41 + -20 Combine like terms: 41 + -20 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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