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Simplifying 2(x + -22) = 27 + -3(x + -3) Reorder the terms: 2(-22 + x) = 27 + -3(x + -3) (-22 * 2 + x * 2) = 27 + -3(x + -3) (-44 + 2x) = 27 + -3(x + -3) Reorder the terms: -44 + 2x = 27 + -3(-3 + x) -44 + 2x = 27 + (-3 * -3 + x * -3) -44 + 2x = 27 + (9 + -3x) Combine like terms: 27 + 9 = 36 -44 + 2x = 36 + -3x Solving -44 + 2x = 36 + -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. -44 + 2x + 3x = 36 + -3x + 3x Combine like terms: 2x + 3x = 5x -44 + 5x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -44 + 5x = 36 + 0 -44 + 5x = 36 Add '44' to each side of the equation. -44 + 44 + 5x = 36 + 44 Combine like terms: -44 + 44 = 0 0 + 5x = 36 + 44 5x = 36 + 44 Combine like terms: 36 + 44 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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