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Simplifying 10(10 + -2x) + -2x = -44 + -6x (10 * 10 + -2x * 10) + -2x = -44 + -6x (100 + -20x) + -2x = -44 + -6x Combine like terms: -20x + -2x = -22x 100 + -22x = -44 + -6x Solving 100 + -22x = -44 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 100 + -22x + 6x = -44 + -6x + 6x Combine like terms: -22x + 6x = -16x 100 + -16x = -44 + -6x + 6x Combine like terms: -6x + 6x = 0 100 + -16x = -44 + 0 100 + -16x = -44 Add '-100' to each side of the equation. 100 + -100 + -16x = -44 + -100 Combine like terms: 100 + -100 = 0 0 + -16x = -44 + -100 -16x = -44 + -100 Combine like terms: -44 + -100 = -144 -16x = -144 Divide each side by '-16'. x = 9 Simplifying x = 9
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