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Simplifying 6(3x + -9) = 6.75(4x + 8) Reorder the terms: 6(-9 + 3x) = 6.75(4x + 8) (-9 * 6 + 3x * 6) = 6.75(4x + 8) (-54 + 18x) = 6.75(4x + 8) Reorder the terms: -54 + 18x = 6.75(8 + 4x) -54 + 18x = (8 * 6.75 + 4x * 6.75) -54 + 18x = (54 + 27x) Solving -54 + 18x = 54 + 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. -54 + 18x + -27x = 54 + 27x + -27x Combine like terms: 18x + -27x = -9x -54 + -9x = 54 + 27x + -27x Combine like terms: 27x + -27x = 0 -54 + -9x = 54 + 0 -54 + -9x = 54 Add '54' to each side of the equation. -54 + 54 + -9x = 54 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = 54 + 54 -9x = 54 + 54 Combine like terms: 54 + 54 = 108 -9x = 108 Divide each side by '-9'. x = -12 Simplifying x = -12
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