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Simplifying 4(-2x + 3) = 9x + 14 Reorder the terms: 4(3 + -2x) = 9x + 14 (3 * 4 + -2x * 4) = 9x + 14 (12 + -8x) = 9x + 14 Reorder the terms: 12 + -8x = 14 + 9x Solving 12 + -8x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -8x + -9x = 14 + 9x + -9x Combine like terms: -8x + -9x = -17x 12 + -17x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -17x = 14 + 0 12 + -17x = 14 Add '-12' to each side of the equation. 12 + -12 + -17x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = 14 + -12 -17x = 14 + -12 Combine like terms: 14 + -12 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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