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Simplifying 5(2x + -1) + -3(x + -4) + -5 = 0 Reorder the terms: 5(-1 + 2x) + -3(x + -4) + -5 = 0 (-1 * 5 + 2x * 5) + -3(x + -4) + -5 = 0 (-5 + 10x) + -3(x + -4) + -5 = 0 Reorder the terms: -5 + 10x + -3(-4 + x) + -5 = 0 -5 + 10x + (-4 * -3 + x * -3) + -5 = 0 -5 + 10x + (12 + -3x) + -5 = 0 Reorder the terms: -5 + 12 + -5 + 10x + -3x = 0 Combine like terms: -5 + 12 = 7 7 + -5 + 10x + -3x = 0 Combine like terms: 7 + -5 = 2 2 + 10x + -3x = 0 Combine like terms: 10x + -3x = 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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