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Simplifying 7(-7x + 22) = -5(-31 + 9x) Reorder the terms: 7(22 + -7x) = -5(-31 + 9x) (22 * 7 + -7x * 7) = -5(-31 + 9x) (154 + -49x) = -5(-31 + 9x) 154 + -49x = (-31 * -5 + 9x * -5) 154 + -49x = (155 + -45x) Solving 154 + -49x = 155 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 154 + -49x + 45x = 155 + -45x + 45x Combine like terms: -49x + 45x = -4x 154 + -4x = 155 + -45x + 45x Combine like terms: -45x + 45x = 0 154 + -4x = 155 + 0 154 + -4x = 155 Add '-154' to each side of the equation. 154 + -154 + -4x = 155 + -154 Combine like terms: 154 + -154 = 0 0 + -4x = 155 + -154 -4x = 155 + -154 Combine like terms: 155 + -154 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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