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Simplifying 6(x + -9) = 2x + 66 Reorder the terms: 6(-9 + x) = 2x + 66 (-9 * 6 + x * 6) = 2x + 66 (-54 + 6x) = 2x + 66 Reorder the terms: -54 + 6x = 66 + 2x Solving -54 + 6x = 66 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -54 + 6x + -2x = 66 + 2x + -2x Combine like terms: 6x + -2x = 4x -54 + 4x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 4x = 66 + 0 -54 + 4x = 66 Add '54' to each side of the equation. -54 + 54 + 4x = 66 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = 66 + 54 4x = 66 + 54 Combine like terms: 66 + 54 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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