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Simplifying 0 = 4(2x + 3) + 3(3x + -8) Reorder the terms: 0 = 4(3 + 2x) + 3(3x + -8) 0 = (3 * 4 + 2x * 4) + 3(3x + -8) 0 = (12 + 8x) + 3(3x + -8) Reorder the terms: 0 = 12 + 8x + 3(-8 + 3x) 0 = 12 + 8x + (-8 * 3 + 3x * 3) 0 = 12 + 8x + (-24 + 9x) Reorder the terms: 0 = 12 + -24 + 8x + 9x Combine like terms: 12 + -24 = -12 0 = -12 + 8x + 9x Combine like terms: 8x + 9x = 17x 0 = -12 + 17x Solving 0 = -12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 0 + -17x = -12 + 17x + -17x Remove the zero: -17x = -12 + 17x + -17x Combine like terms: 17x + -17x = 0 -17x = -12 + 0 -17x = -12 Divide each side by '-17'. x = 0.7058823529 Simplifying x = 0.7058823529
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