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Simplifying 9(x + 4) + -14x = 5(x + 4) + 14 Reorder the terms: 9(4 + x) + -14x = 5(x + 4) + 14 (4 * 9 + x * 9) + -14x = 5(x + 4) + 14 (36 + 9x) + -14x = 5(x + 4) + 14 Combine like terms: 9x + -14x = -5x 36 + -5x = 5(x + 4) + 14 Reorder the terms: 36 + -5x = 5(4 + x) + 14 36 + -5x = (4 * 5 + x * 5) + 14 36 + -5x = (20 + 5x) + 14 Reorder the terms: 36 + -5x = 20 + 14 + 5x Combine like terms: 20 + 14 = 34 36 + -5x = 34 + 5x Solving 36 + -5x = 34 + 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 + -5x + -5x = 34 + 5x + -5x Combine like terms: -5x + -5x = -10x 36 + -10x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -10x = 34 + 0 36 + -10x = 34 Add '-36' to each side of the equation. 36 + -36 + -10x = 34 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 34 + -36 -10x = 34 + -36 Combine like terms: 34 + -36 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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