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Simplifying x + (4x + -5) + (x + 3) + (x + -2) = 45 Reorder the terms: x + (-5 + 4x) + (x + 3) + (x + -2) = 45 Remove parenthesis around (-5 + 4x) x + -5 + 4x + (x + 3) + (x + -2) = 45 Reorder the terms: x + -5 + 4x + (3 + x) + (x + -2) = 45 Remove parenthesis around (3 + x) x + -5 + 4x + 3 + x + (x + -2) = 45 Reorder the terms: x + -5 + 4x + 3 + x + (-2 + x) = 45 Remove parenthesis around (-2 + x) x + -5 + 4x + 3 + x + -2 + x = 45 Reorder the terms: -5 + 3 + -2 + x + 4x + x + x = 45 Combine like terms: -5 + 3 = -2 -2 + -2 + x + 4x + x + x = 45 Combine like terms: -2 + -2 = -4 -4 + x + 4x + x + x = 45 Combine like terms: x + 4x = 5x -4 + 5x + x + x = 45 Combine like terms: 5x + x = 6x -4 + 6x + x = 45 Combine like terms: 6x + x = 7x -4 + 7x = 45 Solving -4 + 7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 45 + 4 7x = 45 + 4 Combine like terms: 45 + 4 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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