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Simplifying (-7)((-4) + 2x) + 5(x + -3) = 22 -7(-4 + 2x) + 5(x + -3) = 22 (-4 * -7 + 2x * -7) + 5(x + -3) = 22 (28 + -14x) + 5(x + -3) = 22 Reorder the terms: 28 + -14x + 5(-3 + x) = 22 28 + -14x + (-3 * 5 + x * 5) = 22 28 + -14x + (-15 + 5x) = 22 Reorder the terms: 28 + -15 + -14x + 5x = 22 Combine like terms: 28 + -15 = 13 13 + -14x + 5x = 22 Combine like terms: -14x + 5x = -9x 13 + -9x = 22 Solving 13 + -9x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 22 + -13 -9x = 22 + -13 Combine like terms: 22 + -13 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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