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Simplifying -1(4x + -10) + 3(5x + 4) = 0 Reorder the terms: -1(-10 + 4x) + 3(5x + 4) = 0 (-10 * -1 + 4x * -1) + 3(5x + 4) = 0 (10 + -4x) + 3(5x + 4) = 0 Reorder the terms: 10 + -4x + 3(4 + 5x) = 0 10 + -4x + (4 * 3 + 5x * 3) = 0 10 + -4x + (12 + 15x) = 0 Reorder the terms: 10 + 12 + -4x + 15x = 0 Combine like terms: 10 + 12 = 22 22 + -4x + 15x = 0 Combine like terms: -4x + 15x = 11x 22 + 11x = 0 Solving 22 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = 0 + -22 11x = 0 + -22 Combine like terms: 0 + -22 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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