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Simplifying 4(10 + -2x) + -3(x + -5) = 0 (10 * 4 + -2x * 4) + -3(x + -5) = 0 (40 + -8x) + -3(x + -5) = 0 Reorder the terms: 40 + -8x + -3(-5 + x) = 0 40 + -8x + (-5 * -3 + x * -3) = 0 40 + -8x + (15 + -3x) = 0 Reorder the terms: 40 + 15 + -8x + -3x = 0 Combine like terms: 40 + 15 = 55 55 + -8x + -3x = 0 Combine like terms: -8x + -3x = -11x 55 + -11x = 0 Solving 55 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -11x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -11x = 0 + -55 -11x = 0 + -55 Combine like terms: 0 + -55 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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