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Simplifying 5(2x + 3) + -1(3x + -8) + -2(4x + -5) = 0 Reorder the terms: 5(3 + 2x) + -1(3x + -8) + -2(4x + -5) = 0 (3 * 5 + 2x * 5) + -1(3x + -8) + -2(4x + -5) = 0 (15 + 10x) + -1(3x + -8) + -2(4x + -5) = 0 Reorder the terms: 15 + 10x + -1(-8 + 3x) + -2(4x + -5) = 0 15 + 10x + (-8 * -1 + 3x * -1) + -2(4x + -5) = 0 15 + 10x + (8 + -3x) + -2(4x + -5) = 0 Reorder the terms: 15 + 10x + 8 + -3x + -2(-5 + 4x) = 0 15 + 10x + 8 + -3x + (-5 * -2 + 4x * -2) = 0 15 + 10x + 8 + -3x + (10 + -8x) = 0 Reorder the terms: 15 + 8 + 10 + 10x + -3x + -8x = 0 Combine like terms: 15 + 8 = 23 23 + 10 + 10x + -3x + -8x = 0 Combine like terms: 23 + 10 = 33 33 + 10x + -3x + -8x = 0 Combine like terms: 10x + -3x = 7x 33 + 7x + -8x = 0 Combine like terms: 7x + -8x = -1x 33 + -1x = 0 Solving 33 + -1x = 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 + -1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 0 + -33 -1x = 0 + -33 Combine like terms: 0 + -33 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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