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Simplifying 28(x + -7) = 44(x + -11) Reorder the terms: 28(-7 + x) = 44(x + -11) (-7 * 28 + x * 28) = 44(x + -11) (-196 + 28x) = 44(x + -11) Reorder the terms: -196 + 28x = 44(-11 + x) -196 + 28x = (-11 * 44 + x * 44) -196 + 28x = (-484 + 44x) Solving -196 + 28x = -484 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -196 + 28x + -44x = -484 + 44x + -44x Combine like terms: 28x + -44x = -16x -196 + -16x = -484 + 44x + -44x Combine like terms: 44x + -44x = 0 -196 + -16x = -484 + 0 -196 + -16x = -484 Add '196' to each side of the equation. -196 + 196 + -16x = -484 + 196 Combine like terms: -196 + 196 = 0 0 + -16x = -484 + 196 -16x = -484 + 196 Combine like terms: -484 + 196 = -288 -16x = -288 Divide each side by '-16'. x = 18 Simplifying x = 18
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