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Simplifying 9(2x + -1) + -1(2x + -2) = 55 Reorder the terms: 9(-1 + 2x) + -1(2x + -2) = 55 (-1 * 9 + 2x * 9) + -1(2x + -2) = 55 (-9 + 18x) + -1(2x + -2) = 55 Reorder the terms: -9 + 18x + -1(-2 + 2x) = 55 -9 + 18x + (-2 * -1 + 2x * -1) = 55 -9 + 18x + (2 + -2x) = 55 Reorder the terms: -9 + 2 + 18x + -2x = 55 Combine like terms: -9 + 2 = -7 -7 + 18x + -2x = 55 Combine like terms: 18x + -2x = 16x -7 + 16x = 55 Solving -7 + 16x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 55 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 55 + 7 16x = 55 + 7 Combine like terms: 55 + 7 = 62 16x = 62 Divide each side by '16'. x = 3.875 Simplifying x = 3.875
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