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Simplifying -7(5x + -9) = 27 + -4x Reorder the terms: -7(-9 + 5x) = 27 + -4x (-9 * -7 + 5x * -7) = 27 + -4x (63 + -35x) = 27 + -4x Solving 63 + -35x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 63 + -35x + 4x = 27 + -4x + 4x Combine like terms: -35x + 4x = -31x 63 + -31x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 63 + -31x = 27 + 0 63 + -31x = 27 Add '-63' to each side of the equation. 63 + -63 + -31x = 27 + -63 Combine like terms: 63 + -63 = 0 0 + -31x = 27 + -63 -31x = 27 + -63 Combine like terms: 27 + -63 = -36 -31x = -36 Divide each side by '-31'. x = 1.161290323 Simplifying x = 1.161290323
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