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Simplifying 7(x + -4) = 44 + -11x Reorder the terms: 7(-4 + x) = 44 + -11x (-4 * 7 + x * 7) = 44 + -11x (-28 + 7x) = 44 + -11x Solving -28 + 7x = 44 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -28 + 7x + 11x = 44 + -11x + 11x Combine like terms: 7x + 11x = 18x -28 + 18x = 44 + -11x + 11x Combine like terms: -11x + 11x = 0 -28 + 18x = 44 + 0 -28 + 18x = 44 Add '28' to each side of the equation. -28 + 28 + 18x = 44 + 28 Combine like terms: -28 + 28 = 0 0 + 18x = 44 + 28 18x = 44 + 28 Combine like terms: 44 + 28 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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