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Simplifying (5x + 2) + -1(2x + -1) = 2x + 6 + 7x Reorder the terms: (2 + 5x) + -1(2x + -1) = 2x + 6 + 7x Remove parenthesis around (2 + 5x) 2 + 5x + -1(2x + -1) = 2x + 6 + 7x Reorder the terms: 2 + 5x + -1(-1 + 2x) = 2x + 6 + 7x 2 + 5x + (-1 * -1 + 2x * -1) = 2x + 6 + 7x 2 + 5x + (1 + -2x) = 2x + 6 + 7x Reorder the terms: 2 + 1 + 5x + -2x = 2x + 6 + 7x Combine like terms: 2 + 1 = 3 3 + 5x + -2x = 2x + 6 + 7x Combine like terms: 5x + -2x = 3x 3 + 3x = 2x + 6 + 7x Reorder the terms: 3 + 3x = 6 + 2x + 7x Combine like terms: 2x + 7x = 9x 3 + 3x = 6 + 9x Solving 3 + 3x = 6 + 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. 3 + 3x + -9x = 6 + 9x + -9x Combine like terms: 3x + -9x = -6x 3 + -6x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -6x = 6 + 0 3 + -6x = 6 Add '-3' to each side of the equation. 3 + -3 + -6x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 6 + -3 -6x = 6 + -3 Combine like terms: 6 + -3 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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