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Simplifying 7(x + -7) + 10 = 2(x + -7) Reorder the terms: 7(-7 + x) + 10 = 2(x + -7) (-7 * 7 + x * 7) + 10 = 2(x + -7) (-49 + 7x) + 10 = 2(x + -7) Reorder the terms: -49 + 10 + 7x = 2(x + -7) Combine like terms: -49 + 10 = -39 -39 + 7x = 2(x + -7) Reorder the terms: -39 + 7x = 2(-7 + x) -39 + 7x = (-7 * 2 + x * 2) -39 + 7x = (-14 + 2x) Solving -39 + 7x = -14 + 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. -39 + 7x + -2x = -14 + 2x + -2x Combine like terms: 7x + -2x = 5x -39 + 5x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -39 + 5x = -14 + 0 -39 + 5x = -14 Add '39' to each side of the equation. -39 + 39 + 5x = -14 + 39 Combine like terms: -39 + 39 = 0 0 + 5x = -14 + 39 5x = -14 + 39 Combine like terms: -14 + 39 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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