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Simplifying -6(1 + -1x) + x = -1(7 + -2x) + 7 (1 * -6 + -1x * -6) + x = -1(7 + -2x) + 7 (-6 + 6x) + x = -1(7 + -2x) + 7 Combine like terms: 6x + x = 7x -6 + 7x = -1(7 + -2x) + 7 -6 + 7x = (7 * -1 + -2x * -1) + 7 -6 + 7x = (-7 + 2x) + 7 Reorder the terms: -6 + 7x = -7 + 7 + 2x Combine like terms: -7 + 7 = 0 -6 + 7x = 0 + 2x -6 + 7x = 2x Solving -6 + 7x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = 0 Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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