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Simplifying 7(x + 4) + 44 = -2x Reorder the terms: 7(4 + x) + 44 = -2x (4 * 7 + x * 7) + 44 = -2x (28 + 7x) + 44 = -2x Reorder the terms: 28 + 44 + 7x = -2x Combine like terms: 28 + 44 = 72 72 + 7x = -2x Solving 72 + 7x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 72 + 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x 72 + 9x = -2x + 2x Combine like terms: -2x + 2x = 0 72 + 9x = 0 Add '-72' to each side of the equation. 72 + -72 + 9x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 9x = 0 + -72 9x = 0 + -72 Combine like terms: 0 + -72 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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