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Simplifying 7x + -1(28 + -2x) + (5x + -34) = 9x + -2 7x + (28 * -1 + -2x * -1) + (5x + -34) = 9x + -2 7x + (-28 + 2x) + (5x + -34) = 9x + -2 Reorder the terms: 7x + -28 + 2x + (-34 + 5x) = 9x + -2 Remove parenthesis around (-34 + 5x) 7x + -28 + 2x + -34 + 5x = 9x + -2 Reorder the terms: -28 + -34 + 7x + 2x + 5x = 9x + -2 Combine like terms: -28 + -34 = -62 -62 + 7x + 2x + 5x = 9x + -2 Combine like terms: 7x + 2x = 9x -62 + 9x + 5x = 9x + -2 Combine like terms: 9x + 5x = 14x -62 + 14x = 9x + -2 Reorder the terms: -62 + 14x = -2 + 9x Solving -62 + 14x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -62 + 14x + -9x = -2 + 9x + -9x Combine like terms: 14x + -9x = 5x -62 + 5x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -62 + 5x = -2 + 0 -62 + 5x = -2 Add '62' to each side of the equation. -62 + 62 + 5x = -2 + 62 Combine like terms: -62 + 62 = 0 0 + 5x = -2 + 62 5x = -2 + 62 Combine like terms: -2 + 62 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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