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Simplifying (3x + -1) + 5x + -2(x + 5) = 121 Reorder the terms: (-1 + 3x) + 5x + -2(x + 5) = 121 Remove parenthesis around (-1 + 3x) -1 + 3x + 5x + -2(x + 5) = 121 Reorder the terms: -1 + 3x + 5x + -2(5 + x) = 121 -1 + 3x + 5x + (5 * -2 + x * -2) = 121 -1 + 3x + 5x + (-10 + -2x) = 121 Reorder the terms: -1 + -10 + 3x + 5x + -2x = 121 Combine like terms: -1 + -10 = -11 -11 + 3x + 5x + -2x = 121 Combine like terms: 3x + 5x = 8x -11 + 8x + -2x = 121 Combine like terms: 8x + -2x = 6x -11 + 6x = 121 Solving -11 + 6x = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6x = 121 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 121 + 11 6x = 121 + 11 Combine like terms: 121 + 11 = 132 6x = 132 Divide each side by '6'. x = 22 Simplifying x = 22
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