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Simplifying 7 + 2(x + -7) = 2 + -2(x + -8) Reorder the terms: 7 + 2(-7 + x) = 2 + -2(x + -8) 7 + (-7 * 2 + x * 2) = 2 + -2(x + -8) 7 + (-14 + 2x) = 2 + -2(x + -8) Combine like terms: 7 + -14 = -7 -7 + 2x = 2 + -2(x + -8) Reorder the terms: -7 + 2x = 2 + -2(-8 + x) -7 + 2x = 2 + (-8 * -2 + x * -2) -7 + 2x = 2 + (16 + -2x) Combine like terms: 2 + 16 = 18 -7 + 2x = 18 + -2x Solving -7 + 2x = 18 + -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. -7 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x -7 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 4x = 18 + 0 -7 + 4x = 18 Add '7' to each side of the equation. -7 + 7 + 4x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 18 + 7 4x = 18 + 7 Combine like terms: 18 + 7 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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