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Simplifying 5x + -45 = 2(7x + 18) Reorder the terms: -45 + 5x = 2(7x + 18) Reorder the terms: -45 + 5x = 2(18 + 7x) -45 + 5x = (18 * 2 + 7x * 2) -45 + 5x = (36 + 14x) Solving -45 + 5x = 36 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -45 + 5x + -14x = 36 + 14x + -14x Combine like terms: 5x + -14x = -9x -45 + -9x = 36 + 14x + -14x Combine like terms: 14x + -14x = 0 -45 + -9x = 36 + 0 -45 + -9x = 36 Add '45' to each side of the equation. -45 + 45 + -9x = 36 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = 36 + 45 -9x = 36 + 45 Combine like terms: 36 + 45 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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