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Simplifying -6(7x + 9) = 8(9x + -4) Reorder the terms: -6(9 + 7x) = 8(9x + -4) (9 * -6 + 7x * -6) = 8(9x + -4) (-54 + -42x) = 8(9x + -4) Reorder the terms: -54 + -42x = 8(-4 + 9x) -54 + -42x = (-4 * 8 + 9x * 8) -54 + -42x = (-32 + 72x) Solving -54 + -42x = -32 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -54 + -42x + -72x = -32 + 72x + -72x Combine like terms: -42x + -72x = -114x -54 + -114x = -32 + 72x + -72x Combine like terms: 72x + -72x = 0 -54 + -114x = -32 + 0 -54 + -114x = -32 Add '54' to each side of the equation. -54 + 54 + -114x = -32 + 54 Combine like terms: -54 + 54 = 0 0 + -114x = -32 + 54 -114x = -32 + 54 Combine like terms: -32 + 54 = 22 -114x = 22 Divide each side by '-114'. x = -0.1929824561 Simplifying x = -0.1929824561
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