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Simplifying x + -55 = 9(2x + 3) + -14 Reorder the terms: -55 + x = 9(2x + 3) + -14 Reorder the terms: -55 + x = 9(3 + 2x) + -14 -55 + x = (3 * 9 + 2x * 9) + -14 -55 + x = (27 + 18x) + -14 Reorder the terms: -55 + x = 27 + -14 + 18x Combine like terms: 27 + -14 = 13 -55 + x = 13 + 18x Solving -55 + x = 13 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -55 + x + -18x = 13 + 18x + -18x Combine like terms: x + -18x = -17x -55 + -17x = 13 + 18x + -18x Combine like terms: 18x + -18x = 0 -55 + -17x = 13 + 0 -55 + -17x = 13 Add '55' to each side of the equation. -55 + 55 + -17x = 13 + 55 Combine like terms: -55 + 55 = 0 0 + -17x = 13 + 55 -17x = 13 + 55 Combine like terms: 13 + 55 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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