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Simplifying 7(-4x + 9) = -49 Reorder the terms: 7(9 + -4x) = -49 (9 * 7 + -4x * 7) = -49 (63 + -28x) = -49 Solving 63 + -28x = -49 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 = -49 + -63 Combine like terms: 63 + -63 = 0 0 + -28x = -49 + -63 -28x = -49 + -63 Combine like terms: -49 + -63 = -112 -28x = -112 Divide each side by '-28'. x = 4 Simplifying x = 4
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