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Simplifying 4(2x + -4) = 3(9x + 2) Reorder the terms: 4(-4 + 2x) = 3(9x + 2) (-4 * 4 + 2x * 4) = 3(9x + 2) (-16 + 8x) = 3(9x + 2) Reorder the terms: -16 + 8x = 3(2 + 9x) -16 + 8x = (2 * 3 + 9x * 3) -16 + 8x = (6 + 27x) Solving -16 + 8x = 6 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -16 + 8x + -27x = 6 + 27x + -27x Combine like terms: 8x + -27x = -19x -16 + -19x = 6 + 27x + -27x Combine like terms: 27x + -27x = 0 -16 + -19x = 6 + 0 -16 + -19x = 6 Add '16' to each side of the equation. -16 + 16 + -19x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -19x = 6 + 16 -19x = 6 + 16 Combine like terms: 6 + 16 = 22 -19x = 22 Divide each side by '-19'. x = -1.157894737 Simplifying x = -1.157894737
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