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Simplifying 9(2x + 4) + -7x = 5x + -18 Reorder the terms: 9(4 + 2x) + -7x = 5x + -18 (4 * 9 + 2x * 9) + -7x = 5x + -18 (36 + 18x) + -7x = 5x + -18 Combine like terms: 18x + -7x = 11x 36 + 11x = 5x + -18 Reorder the terms: 36 + 11x = -18 + 5x Solving 36 + 11x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 11x + -5x = -18 + 5x + -5x Combine like terms: 11x + -5x = 6x 36 + 6x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 6x = -18 + 0 36 + 6x = -18 Add '-36' to each side of the equation. 36 + -36 + 6x = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -18 + -36 6x = -18 + -36 Combine like terms: -18 + -36 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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