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Simplifying 7(x + -2) + -9(x + 4) = 18 Reorder the terms: 7(-2 + x) + -9(x + 4) = 18 (-2 * 7 + x * 7) + -9(x + 4) = 18 (-14 + 7x) + -9(x + 4) = 18 Reorder the terms: -14 + 7x + -9(4 + x) = 18 -14 + 7x + (4 * -9 + x * -9) = 18 -14 + 7x + (-36 + -9x) = 18 Reorder the terms: -14 + -36 + 7x + -9x = 18 Combine like terms: -14 + -36 = -50 -50 + 7x + -9x = 18 Combine like terms: 7x + -9x = -2x -50 + -2x = 18 Solving -50 + -2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -2x = 18 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = 18 + 50 -2x = 18 + 50 Combine like terms: 18 + 50 = 68 -2x = 68 Divide each side by '-2'. x = -34 Simplifying x = -34
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