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Simplifying x + (x + 19) + (4x + -32) = 977 Reorder the terms: x + (19 + x) + (4x + -32) = 977 Remove parenthesis around (19 + x) x + 19 + x + (4x + -32) = 977 Reorder the terms: x + 19 + x + (-32 + 4x) = 977 Remove parenthesis around (-32 + 4x) x + 19 + x + -32 + 4x = 977 Reorder the terms: 19 + -32 + x + x + 4x = 977 Combine like terms: 19 + -32 = -13 -13 + x + x + 4x = 977 Combine like terms: x + x = 2x -13 + 2x + 4x = 977 Combine like terms: 2x + 4x = 6x -13 + 6x = 977 Solving -13 + 6x = 977 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6x = 977 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 977 + 13 6x = 977 + 13 Combine like terms: 977 + 13 = 990 6x = 990 Divide each side by '6'. x = 165 Simplifying x = 165
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