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Simplifying 6(5x + -9) = 6(-6x + -4) Reorder the terms: 6(-9 + 5x) = 6(-6x + -4) (-9 * 6 + 5x * 6) = 6(-6x + -4) (-54 + 30x) = 6(-6x + -4) Reorder the terms: -54 + 30x = 6(-4 + -6x) -54 + 30x = (-4 * 6 + -6x * 6) -54 + 30x = (-24 + -36x) Solving -54 + 30x = -24 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -54 + 30x + 36x = -24 + -36x + 36x Combine like terms: 30x + 36x = 66x -54 + 66x = -24 + -36x + 36x Combine like terms: -36x + 36x = 0 -54 + 66x = -24 + 0 -54 + 66x = -24 Add '54' to each side of the equation. -54 + 54 + 66x = -24 + 54 Combine like terms: -54 + 54 = 0 0 + 66x = -24 + 54 66x = -24 + 54 Combine like terms: -24 + 54 = 30 66x = 30 Divide each side by '66'. x = 0.4545454545 Simplifying x = 0.4545454545
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