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Simplifying 5(x + 4) = 2(x + 1) + -27 Reorder the terms: 5(4 + x) = 2(x + 1) + -27 (4 * 5 + x * 5) = 2(x + 1) + -27 (20 + 5x) = 2(x + 1) + -27 Reorder the terms: 20 + 5x = 2(1 + x) + -27 20 + 5x = (1 * 2 + x * 2) + -27 20 + 5x = (2 + 2x) + -27 Reorder the terms: 20 + 5x = 2 + -27 + 2x Combine like terms: 2 + -27 = -25 20 + 5x = -25 + 2x Solving 20 + 5x = -25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 5x + -2x = -25 + 2x + -2x Combine like terms: 5x + -2x = 3x 20 + 3x = -25 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 3x = -25 + 0 20 + 3x = -25 Add '-20' to each side of the equation. 20 + -20 + 3x = -25 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -25 + -20 3x = -25 + -20 Combine like terms: -25 + -20 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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