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Simplifying 4(2x + 3) + 3(3x + -8) = 0 Reorder the terms: 4(3 + 2x) + 3(3x + -8) = 0 (3 * 4 + 2x * 4) + 3(3x + -8) = 0 (12 + 8x) + 3(3x + -8) = 0 Reorder the terms: 12 + 8x + 3(-8 + 3x) = 0 12 + 8x + (-8 * 3 + 3x * 3) = 0 12 + 8x + (-24 + 9x) = 0 Reorder the terms: 12 + -24 + 8x + 9x = 0 Combine like terms: 12 + -24 = -12 -12 + 8x + 9x = 0 Combine like terms: 8x + 9x = 17x -12 + 17x = 0 Solving -12 + 17x = 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 + 17x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17x = 0 + 12 17x = 0 + 12 Combine like terms: 0 + 12 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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