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Simplifying 4(2x + 5) + -7(x + -3) = 0 Reorder the terms: 4(5 + 2x) + -7(x + -3) = 0 (5 * 4 + 2x * 4) + -7(x + -3) = 0 (20 + 8x) + -7(x + -3) = 0 Reorder the terms: 20 + 8x + -7(-3 + x) = 0 20 + 8x + (-3 * -7 + x * -7) = 0 20 + 8x + (21 + -7x) = 0 Reorder the terms: 20 + 21 + 8x + -7x = 0 Combine like terms: 20 + 21 = 41 41 + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x 41 + 1x = 0 Solving 41 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 0 + -41 1x = 0 + -41 Combine like terms: 0 + -41 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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