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Simplifying 6(3x + -9) = -6 + 7(8x + 4) Reorder the terms: 6(-9 + 3x) = -6 + 7(8x + 4) (-9 * 6 + 3x * 6) = -6 + 7(8x + 4) (-54 + 18x) = -6 + 7(8x + 4) Reorder the terms: -54 + 18x = -6 + 7(4 + 8x) -54 + 18x = -6 + (4 * 7 + 8x * 7) -54 + 18x = -6 + (28 + 56x) Combine like terms: -6 + 28 = 22 -54 + 18x = 22 + 56x Solving -54 + 18x = 22 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -54 + 18x + -56x = 22 + 56x + -56x Combine like terms: 18x + -56x = -38x -54 + -38x = 22 + 56x + -56x Combine like terms: 56x + -56x = 0 -54 + -38x = 22 + 0 -54 + -38x = 22 Add '54' to each side of the equation. -54 + 54 + -38x = 22 + 54 Combine like terms: -54 + 54 = 0 0 + -38x = 22 + 54 -38x = 22 + 54 Combine like terms: 22 + 54 = 76 -38x = 76 Divide each side by '-38'. x = -2 Simplifying x = -2
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