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Simplifying 4(7 + -2x) = 27(x + 5) (7 * 4 + -2x * 4) = 27(x + 5) (28 + -8x) = 27(x + 5) Reorder the terms: 28 + -8x = 27(5 + x) 28 + -8x = (5 * 27 + x * 27) 28 + -8x = (135 + 27x) Solving 28 + -8x = 135 + 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. 28 + -8x + -27x = 135 + 27x + -27x Combine like terms: -8x + -27x = -35x 28 + -35x = 135 + 27x + -27x Combine like terms: 27x + -27x = 0 28 + -35x = 135 + 0 28 + -35x = 135 Add '-28' to each side of the equation. 28 + -28 + -35x = 135 + -28 Combine like terms: 28 + -28 = 0 0 + -35x = 135 + -28 -35x = 135 + -28 Combine like terms: 135 + -28 = 107 -35x = 107 Divide each side by '-35'. x = -3.057142857 Simplifying x = -3.057142857
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