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Simplifying 2(5 + -1x) = 10(22x + -9) (5 * 2 + -1x * 2) = 10(22x + -9) (10 + -2x) = 10(22x + -9) Reorder the terms: 10 + -2x = 10(-9 + 22x) 10 + -2x = (-9 * 10 + 22x * 10) 10 + -2x = (-90 + 220x) Solving 10 + -2x = -90 + 220x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-220x' to each side of the equation. 10 + -2x + -220x = -90 + 220x + -220x Combine like terms: -2x + -220x = -222x 10 + -222x = -90 + 220x + -220x Combine like terms: 220x + -220x = 0 10 + -222x = -90 + 0 10 + -222x = -90 Add '-10' to each side of the equation. 10 + -10 + -222x = -90 + -10 Combine like terms: 10 + -10 = 0 0 + -222x = -90 + -10 -222x = -90 + -10 Combine like terms: -90 + -10 = -100 -222x = -100 Divide each side by '-222'. x = 0.4504504505 Simplifying x = 0.4504504505
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