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Simplifying x + -2 = 7(x + -7) + 5 Reorder the terms: -2 + x = 7(x + -7) + 5 Reorder the terms: -2 + x = 7(-7 + x) + 5 -2 + x = (-7 * 7 + x * 7) + 5 -2 + x = (-49 + 7x) + 5 Reorder the terms: -2 + x = -49 + 5 + 7x Combine like terms: -49 + 5 = -44 -2 + x = -44 + 7x Solving -2 + x = -44 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + x + -7x = -44 + 7x + -7x Combine like terms: x + -7x = -6x -2 + -6x = -44 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = -44 + 0 -2 + -6x = -44 Add '2' to each side of the equation. -2 + 2 + -6x = -44 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -44 + 2 -6x = -44 + 2 Combine like terms: -44 + 2 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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