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Simplifying -6(x + 9) = -10(x + 9) Reorder the terms: -6(9 + x) = -10(x + 9) (9 * -6 + x * -6) = -10(x + 9) (-54 + -6x) = -10(x + 9) Reorder the terms: -54 + -6x = -10(9 + x) -54 + -6x = (9 * -10 + x * -10) -54 + -6x = (-90 + -10x) Solving -54 + -6x = -90 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -54 + -6x + 10x = -90 + -10x + 10x Combine like terms: -6x + 10x = 4x -54 + 4x = -90 + -10x + 10x Combine like terms: -10x + 10x = 0 -54 + 4x = -90 + 0 -54 + 4x = -90 Add '54' to each side of the equation. -54 + 54 + 4x = -90 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = -90 + 54 4x = -90 + 54 Combine like terms: -90 + 54 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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