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Simplifying 4x + 5(x + -1) + -2x + 7 = 0 Reorder the terms: 4x + 5(-1 + x) + -2x + 7 = 0 4x + (-1 * 5 + x * 5) + -2x + 7 = 0 4x + (-5 + 5x) + -2x + 7 = 0 Reorder the terms: -5 + 7 + 4x + 5x + -2x = 0 Combine like terms: -5 + 7 = 2 2 + 4x + 5x + -2x = 0 Combine like terms: 4x + 5x = 9x 2 + 9x + -2x = 0 Combine like terms: 9x + -2x = 7x 2 + 7x = 0 Solving 2 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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