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Simplifying 6(5x + -4) + 3(16 + -3x) + -5(4x + 2) = -9 Reorder the terms: 6(-4 + 5x) + 3(16 + -3x) + -5(4x + 2) = -9 (-4 * 6 + 5x * 6) + 3(16 + -3x) + -5(4x + 2) = -9 (-24 + 30x) + 3(16 + -3x) + -5(4x + 2) = -9 -24 + 30x + (16 * 3 + -3x * 3) + -5(4x + 2) = -9 -24 + 30x + (48 + -9x) + -5(4x + 2) = -9 Reorder the terms: -24 + 30x + 48 + -9x + -5(2 + 4x) = -9 -24 + 30x + 48 + -9x + (2 * -5 + 4x * -5) = -9 -24 + 30x + 48 + -9x + (-10 + -20x) = -9 Reorder the terms: -24 + 48 + -10 + 30x + -9x + -20x = -9 Combine like terms: -24 + 48 = 24 24 + -10 + 30x + -9x + -20x = -9 Combine like terms: 24 + -10 = 14 14 + 30x + -9x + -20x = -9 Combine like terms: 30x + -9x = 21x 14 + 21x + -20x = -9 Combine like terms: 21x + -20x = 1x 14 + 1x = -9 Solving 14 + 1x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = -9 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -9 + -14 1x = -9 + -14 Combine like terms: -9 + -14 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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