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Simplifying x + -49 = 9(2x + 3) + -8 Reorder the terms: -49 + x = 9(2x + 3) + -8 Reorder the terms: -49 + x = 9(3 + 2x) + -8 -49 + x = (3 * 9 + 2x * 9) + -8 -49 + x = (27 + 18x) + -8 Reorder the terms: -49 + x = 27 + -8 + 18x Combine like terms: 27 + -8 = 19 -49 + x = 19 + 18x Solving -49 + x = 19 + 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. -49 + x + -18x = 19 + 18x + -18x Combine like terms: x + -18x = -17x -49 + -17x = 19 + 18x + -18x Combine like terms: 18x + -18x = 0 -49 + -17x = 19 + 0 -49 + -17x = 19 Add '49' to each side of the equation. -49 + 49 + -17x = 19 + 49 Combine like terms: -49 + 49 = 0 0 + -17x = 19 + 49 -17x = 19 + 49 Combine like terms: 19 + 49 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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