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Simplifying 27 = 0.5[(5x + -7) + (6x + 6)] Reorder the terms: 27 = 0.5[(-7 + 5x) + (6x + 6)] Remove parenthesis around (-7 + 5x) 27 = 0.5[-7 + 5x + (6x + 6)] Reorder the terms: 27 = 0.5[-7 + 5x + (6 + 6x)] Remove parenthesis around (6 + 6x) 27 = 0.5[-7 + 5x + 6 + 6x] Reorder the terms: 27 = 0.5[-7 + 6 + 5x + 6x] Combine like terms: -7 + 6 = -1 27 = 0.5[-1 + 5x + 6x] Combine like terms: 5x + 6x = 11x 27 = 0.5[-1 + 11x] 27 = [-1 * 0.5 + 11x * 0.5] 27 = [-0.5 + 5.5x] Solving 27 = -0.5 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 27 + -5.5x = -0.5 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 27 + -5.5x = -0.5 + 0.0 27 + -5.5x = -0.5 Add '-27' to each side of the equation. 27 + -27 + -5.5x = -0.5 + -27 Combine like terms: 27 + -27 = 0 0 + -5.5x = -0.5 + -27 -5.5x = -0.5 + -27 Combine like terms: -0.5 + -27 = -27.5 -5.5x = -27.5 Divide each side by '-5.5'. x = 5 Simplifying x = 5
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