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Simplifying 7(2x + 5) = 4x + -9x Reorder the terms: 7(5 + 2x) = 4x + -9x (5 * 7 + 2x * 7) = 4x + -9x (35 + 14x) = 4x + -9x Combine like terms: 4x + -9x = -5x 35 + 14x = -5x Solving 35 + 14x = -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. 35 + 14x + 5x = -5x + 5x Combine like terms: 14x + 5x = 19x 35 + 19x = -5x + 5x Combine like terms: -5x + 5x = 0 35 + 19x = 0 Add '-35' to each side of the equation. 35 + -35 + 19x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 19x = 0 + -35 19x = 0 + -35 Combine like terms: 0 + -35 = -35 19x = -35 Divide each side by '19'. x = -1.842105263 Simplifying x = -1.842105263
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