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Simplifying -7 = 7(x + -7) + -6x Reorder the terms: -7 = 7(-7 + x) + -6x -7 = (-7 * 7 + x * 7) + -6x -7 = (-49 + 7x) + -6x Combine like terms: 7x + -6x = 1x -7 = -49 + 1x Solving -7 = -49 + 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. -7 + -1x = -49 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -1x = -49 + 0 -7 + -1x = -49 Add '7' to each side of the equation. -7 + 7 + -1x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -49 + 7 -1x = -49 + 7 Combine like terms: -49 + 7 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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