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Simplifying 2x + -9 = 7 + -1(4 + -1x) Reorder the terms: -9 + 2x = 7 + -1(4 + -1x) -9 + 2x = 7 + (4 * -1 + -1x * -1) -9 + 2x = 7 + (-4 + 1x) Combine like terms: 7 + -4 = 3 -9 + 2x = 3 + 1x Solving -9 + 2x = 3 + 1x 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. -9 + 2x + -1x = 3 + 1x + -1x Combine like terms: 2x + -1x = 1x -9 + 1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 1x = 3 + 0 -9 + 1x = 3 Add '9' to each side of the equation. -9 + 9 + 1x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 3 + 9 1x = 3 + 9 Combine like terms: 3 + 9 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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