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Simplifying (x + -7) * 2 = (9 + -1x) * 2 Reorder the terms: (-7 + x) * 2 = (9 + -1x) * 2 Reorder the terms for easier multiplication: 2(-7 + x) = (9 + -1x) * 2 (-7 * 2 + x * 2) = (9 + -1x) * 2 (-14 + 2x) = (9 + -1x) * 2 Reorder the terms for easier multiplication: -14 + 2x = 2(9 + -1x) -14 + 2x = (9 * 2 + -1x * 2) -14 + 2x = (18 + -2x) Solving -14 + 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. -14 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x -14 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 4x = 18 + 0 -14 + 4x = 18 Add '14' to each side of the equation. -14 + 14 + 4x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 18 + 14 4x = 18 + 14 Combine like terms: 18 + 14 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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