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Simplifying -1(5x + -10) + 4(5x + 7) = 0 Reorder the terms: -1(-10 + 5x) + 4(5x + 7) = 0 (-10 * -1 + 5x * -1) + 4(5x + 7) = 0 (10 + -5x) + 4(5x + 7) = 0 Reorder the terms: 10 + -5x + 4(7 + 5x) = 0 10 + -5x + (7 * 4 + 5x * 4) = 0 10 + -5x + (28 + 20x) = 0 Reorder the terms: 10 + 28 + -5x + 20x = 0 Combine like terms: 10 + 28 = 38 38 + -5x + 20x = 0 Combine like terms: -5x + 20x = 15x 38 + 15x = 0 Solving 38 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 15x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 15x = 0 + -38 15x = 0 + -38 Combine like terms: 0 + -38 = -38 15x = -38 Divide each side by '15'. x = -2.533333333 Simplifying x = -2.533333333
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