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Simplifying -5(5x + 9) + -5(3 + -1x) + 12(2x + 4) = 0 Reorder the terms: -5(9 + 5x) + -5(3 + -1x) + 12(2x + 4) = 0 (9 * -5 + 5x * -5) + -5(3 + -1x) + 12(2x + 4) = 0 (-45 + -25x) + -5(3 + -1x) + 12(2x + 4) = 0 -45 + -25x + (3 * -5 + -1x * -5) + 12(2x + 4) = 0 -45 + -25x + (-15 + 5x) + 12(2x + 4) = 0 Reorder the terms: -45 + -25x + -15 + 5x + 12(4 + 2x) = 0 -45 + -25x + -15 + 5x + (4 * 12 + 2x * 12) = 0 -45 + -25x + -15 + 5x + (48 + 24x) = 0 Reorder the terms: -45 + -15 + 48 + -25x + 5x + 24x = 0 Combine like terms: -45 + -15 = -60 -60 + 48 + -25x + 5x + 24x = 0 Combine like terms: -60 + 48 = -12 -12 + -25x + 5x + 24x = 0 Combine like terms: -25x + 5x = -20x -12 + -20x + 24x = 0 Combine like terms: -20x + 24x = 4x -12 + 4x = 0 Solving -12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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