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Simplifying 2x + -5(3x + -7(4x + -9)) = 66 Reorder the terms: 2x + -5(3x + -7(-9 + 4x)) = 66 2x + -5(3x + (-9 * -7 + 4x * -7)) = 66 2x + -5(3x + (63 + -28x)) = 66 Reorder the terms: 2x + -5(63 + 3x + -28x) = 66 Combine like terms: 3x + -28x = -25x 2x + -5(63 + -25x) = 66 2x + (63 * -5 + -25x * -5) = 66 2x + (-315 + 125x) = 66 Reorder the terms: -315 + 2x + 125x = 66 Combine like terms: 2x + 125x = 127x -315 + 127x = 66 Solving -315 + 127x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '315' to each side of the equation. -315 + 315 + 127x = 66 + 315 Combine like terms: -315 + 315 = 0 0 + 127x = 66 + 315 127x = 66 + 315 Combine like terms: 66 + 315 = 381 127x = 381 Divide each side by '127'. x = 3 Simplifying x = 3
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