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Simplifying 2(x + -1) + 3(x + 2) + 3 = 27 Reorder the terms: 2(-1 + x) + 3(x + 2) + 3 = 27 (-1 * 2 + x * 2) + 3(x + 2) + 3 = 27 (-2 + 2x) + 3(x + 2) + 3 = 27 Reorder the terms: -2 + 2x + 3(2 + x) + 3 = 27 -2 + 2x + (2 * 3 + x * 3) + 3 = 27 -2 + 2x + (6 + 3x) + 3 = 27 Reorder the terms: -2 + 6 + 3 + 2x + 3x = 27 Combine like terms: -2 + 6 = 4 4 + 3 + 2x + 3x = 27 Combine like terms: 4 + 3 = 7 7 + 2x + 3x = 27 Combine like terms: 2x + 3x = 5x 7 + 5x = 27 Solving 7 + 5x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 27 + -7 5x = 27 + -7 Combine like terms: 27 + -7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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