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Simplifying -6(x + 2) + 7 = 1x + 6 Reorder the terms: -6(2 + x) + 7 = 1x + 6 (2 * -6 + x * -6) + 7 = 1x + 6 (-12 + -6x) + 7 = 1x + 6 Reorder the terms: -12 + 7 + -6x = 1x + 6 Combine like terms: -12 + 7 = -5 -5 + -6x = 1x + 6 Reorder the terms: -5 + -6x = 6 + 1x Solving -5 + -6x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -6x + -1x = 6 + 1x + -1x Combine like terms: -6x + -1x = -7x -5 + -7x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -7x = 6 + 0 -5 + -7x = 6 Add '5' to each side of the equation. -5 + 5 + -7x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 6 + 5 -7x = 6 + 5 Combine like terms: 6 + 5 = 11 -7x = 11 Divide each side by '-7'. x = -1.571428571 Simplifying x = -1.571428571
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