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Simplifying 7x + -1(x + 9) = 4x + 9 + 1 Reorder the terms: 7x + -1(9 + x) = 4x + 9 + 1 7x + (9 * -1 + x * -1) = 4x + 9 + 1 7x + (-9 + -1x) = 4x + 9 + 1 Reorder the terms: -9 + 7x + -1x = 4x + 9 + 1 Combine like terms: 7x + -1x = 6x -9 + 6x = 4x + 9 + 1 Reorder the terms: -9 + 6x = 9 + 1 + 4x Combine like terms: 9 + 1 = 10 -9 + 6x = 10 + 4x Solving -9 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x -9 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 2x = 10 + 0 -9 + 2x = 10 Add '9' to each side of the equation. -9 + 9 + 2x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 10 + 9 2x = 10 + 9 Combine like terms: 10 + 9 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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