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Simplifying -1(4x + -10) + 2(3x + 15) = 0 Reorder the terms: -1(-10 + 4x) + 2(3x + 15) = 0 (-10 * -1 + 4x * -1) + 2(3x + 15) = 0 (10 + -4x) + 2(3x + 15) = 0 Reorder the terms: 10 + -4x + 2(15 + 3x) = 0 10 + -4x + (15 * 2 + 3x * 2) = 0 10 + -4x + (30 + 6x) = 0 Reorder the terms: 10 + 30 + -4x + 6x = 0 Combine like terms: 10 + 30 = 40 40 + -4x + 6x = 0 Combine like terms: -4x + 6x = 2x 40 + 2x = 0 Solving 40 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 2x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 0 + -40 2x = 0 + -40 Combine like terms: 0 + -40 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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