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Simplifying 4x + (3x + -5) + -2(x + 2) = 36 Reorder the terms: 4x + (-5 + 3x) + -2(x + 2) = 36 Remove parenthesis around (-5 + 3x) 4x + -5 + 3x + -2(x + 2) = 36 Reorder the terms: 4x + -5 + 3x + -2(2 + x) = 36 4x + -5 + 3x + (2 * -2 + x * -2) = 36 4x + -5 + 3x + (-4 + -2x) = 36 Reorder the terms: -5 + -4 + 4x + 3x + -2x = 36 Combine like terms: -5 + -4 = -9 -9 + 4x + 3x + -2x = 36 Combine like terms: 4x + 3x = 7x -9 + 7x + -2x = 36 Combine like terms: 7x + -2x = 5x -9 + 5x = 36 Solving -9 + 5x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 36 + 9 5x = 36 + 9 Combine like terms: 36 + 9 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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