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