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Simplifying 3(8 + -3x) = 4(7 + 2x) (8 * 3 + -3x * 3) = 4(7 + 2x) (24 + -9x) = 4(7 + 2x) 24 + -9x = (7 * 4 + 2x * 4) 24 + -9x = (28 + 8x) Solving 24 + -9x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -9x + -8x = 28 + 8x + -8x Combine like terms: -9x + -8x = -17x 24 + -17x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -17x = 28 + 0 24 + -17x = 28 Add '-24' to each side of the equation. 24 + -24 + -17x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = 28 + -24 -17x = 28 + -24 Combine like terms: 28 + -24 = 4 -17x = 4 Divide each side by '-17'. x = -0.2352941176 Simplifying x = -0.2352941176
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