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Simplifying -2x + 27 = 5(x + 4) Reorder the terms: 27 + -2x = 5(x + 4) Reorder the terms: 27 + -2x = 5(4 + x) 27 + -2x = (4 * 5 + x * 5) 27 + -2x = (20 + 5x) Solving 27 + -2x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x 27 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -7x = 20 + 0 27 + -7x = 20 Add '-27' to each side of the equation. 27 + -27 + -7x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 20 + -27 -7x = 20 + -27 Combine like terms: 20 + -27 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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