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Simplifying 5(2x + 5) + -2(3x + -4) = 0 Reorder the terms: 5(5 + 2x) + -2(3x + -4) = 0 (5 * 5 + 2x * 5) + -2(3x + -4) = 0 (25 + 10x) + -2(3x + -4) = 0 Reorder the terms: 25 + 10x + -2(-4 + 3x) = 0 25 + 10x + (-4 * -2 + 3x * -2) = 0 25 + 10x + (8 + -6x) = 0 Reorder the terms: 25 + 8 + 10x + -6x = 0 Combine like terms: 25 + 8 = 33 33 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x 33 + 4x = 0 Solving 33 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 4x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 0 + -33 4x = 0 + -33 Combine like terms: 0 + -33 = -33 4x = -33 Divide each side by '4'. x = -8.25 Simplifying x = -8.25
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