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Simplifying 4(x + 2) + 27 = -3x Reorder the terms: 4(2 + x) + 27 = -3x (2 * 4 + x * 4) + 27 = -3x (8 + 4x) + 27 = -3x Reorder the terms: 8 + 27 + 4x = -3x Combine like terms: 8 + 27 = 35 35 + 4x = -3x Solving 35 + 4x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 35 + 4x + 3x = -3x + 3x Combine like terms: 4x + 3x = 7x 35 + 7x = -3x + 3x Combine like terms: -3x + 3x = 0 35 + 7x = 0 Add '-35' to each side of the equation. 35 + -35 + 7x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 0 + -35 7x = 0 + -35 Combine like terms: 0 + -35 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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