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Simplifying x + -78 = 9(2x + 3) + -20 Reorder the terms: -78 + x = 9(2x + 3) + -20 Reorder the terms: -78 + x = 9(3 + 2x) + -20 -78 + x = (3 * 9 + 2x * 9) + -20 -78 + x = (27 + 18x) + -20 Reorder the terms: -78 + x = 27 + -20 + 18x Combine like terms: 27 + -20 = 7 -78 + x = 7 + 18x Solving -78 + x = 7 + 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. -78 + x + -18x = 7 + 18x + -18x Combine like terms: x + -18x = -17x -78 + -17x = 7 + 18x + -18x Combine like terms: 18x + -18x = 0 -78 + -17x = 7 + 0 -78 + -17x = 7 Add '78' to each side of the equation. -78 + 78 + -17x = 7 + 78 Combine like terms: -78 + 78 = 0 0 + -17x = 7 + 78 -17x = 7 + 78 Combine like terms: 7 + 78 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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