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Simplifying 5x + -7(2x + -5) = -9x + 7 + -5x Reorder the terms: 5x + -7(-5 + 2x) = -9x + 7 + -5x 5x + (-5 * -7 + 2x * -7) = -9x + 7 + -5x 5x + (35 + -14x) = -9x + 7 + -5x Reorder the terms: 35 + 5x + -14x = -9x + 7 + -5x Combine like terms: 5x + -14x = -9x 35 + -9x = -9x + 7 + -5x Reorder the terms: 35 + -9x = 7 + -9x + -5x Combine like terms: -9x + -5x = -14x 35 + -9x = 7 + -14x Solving 35 + -9x = 7 + -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. 35 + -9x + 14x = 7 + -14x + 14x Combine like terms: -9x + 14x = 5x 35 + 5x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 35 + 5x = 7 + 0 35 + 5x = 7 Add '-35' to each side of the equation. 35 + -35 + 5x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 7 + -35 5x = 7 + -35 Combine like terms: 7 + -35 = -28 5x = -28 Divide each side by '5'. x = -5.6 Simplifying x = -5.6
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