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Simplifying 7(x + -2) = -9(x + 4) + 44 Reorder the terms: 7(-2 + x) = -9(x + 4) + 44 (-2 * 7 + x * 7) = -9(x + 4) + 44 (-14 + 7x) = -9(x + 4) + 44 Reorder the terms: -14 + 7x = -9(4 + x) + 44 -14 + 7x = (4 * -9 + x * -9) + 44 -14 + 7x = (-36 + -9x) + 44 Reorder the terms: -14 + 7x = -36 + 44 + -9x Combine like terms: -36 + 44 = 8 -14 + 7x = 8 + -9x Solving -14 + 7x = 8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 7x + 9x = 8 + -9x + 9x Combine like terms: 7x + 9x = 16x -14 + 16x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 16x = 8 + 0 -14 + 16x = 8 Add '14' to each side of the equation. -14 + 14 + 16x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 8 + 14 16x = 8 + 14 Combine like terms: 8 + 14 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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