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Simplifying 4[2x + -8] = 3[2 + -3x] Reorder the terms: 4[-8 + 2x] = 3[2 + -3x] [-8 * 4 + 2x * 4] = 3[2 + -3x] [-32 + 8x] = 3[2 + -3x] -32 + 8x = [2 * 3 + -3x * 3] -32 + 8x = [6 + -9x] Solving -32 + 8x = 6 + -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. -32 + 8x + 9x = 6 + -9x + 9x Combine like terms: 8x + 9x = 17x -32 + 17x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -32 + 17x = 6 + 0 -32 + 17x = 6 Add '32' to each side of the equation. -32 + 32 + 17x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 17x = 6 + 32 17x = 6 + 32 Combine like terms: 6 + 32 = 38 17x = 38 Divide each side by '17'. x = 2.235294118 Simplifying x = 2.235294118
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