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Simplifying -4(4x + -10) + 2(3x + 5) = 0 Reorder the terms: -4(-10 + 4x) + 2(3x + 5) = 0 (-10 * -4 + 4x * -4) + 2(3x + 5) = 0 (40 + -16x) + 2(3x + 5) = 0 Reorder the terms: 40 + -16x + 2(5 + 3x) = 0 40 + -16x + (5 * 2 + 3x * 2) = 0 40 + -16x + (10 + 6x) = 0 Reorder the terms: 40 + 10 + -16x + 6x = 0 Combine like terms: 40 + 10 = 50 50 + -16x + 6x = 0 Combine like terms: -16x + 6x = -10x 50 + -10x = 0 Solving 50 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -10x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -10x = 0 + -50 -10x = 0 + -50 Combine like terms: 0 + -50 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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