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Simplifying -7(4x + -9) = 1 Reorder the terms: -7(-9 + 4x) = 1 (-9 * -7 + 4x * -7) = 1 (63 + -28x) = 1 Solving 63 + -28x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -28x = 1 + -63 Combine like terms: 63 + -63 = 0 0 + -28x = 1 + -63 -28x = 1 + -63 Combine like terms: 1 + -63 = -62 -28x = -62 Divide each side by '-28'. x = 2.214285714 Simplifying x = 2.214285714
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