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Simplifying 4x + -9(x + -7) = 27x Reorder the terms: 4x + -9(-7 + x) = 27x 4x + (-7 * -9 + x * -9) = 27x 4x + (63 + -9x) = 27x Reorder the terms: 63 + 4x + -9x = 27x Combine like terms: 4x + -9x = -5x 63 + -5x = 27x Solving 63 + -5x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 63 + -5x + -27x = 27x + -27x Combine like terms: -5x + -27x = -32x 63 + -32x = 27x + -27x Combine like terms: 27x + -27x = 0 63 + -32x = 0 Add '-63' to each side of the equation. 63 + -63 + -32x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -32x = 0 + -63 -32x = 0 + -63 Combine like terms: 0 + -63 = -63 -32x = -63 Divide each side by '-32'. x = 1.96875 Simplifying x = 1.96875
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