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Simplifying 7(x + -1) + -1(2 + -1x) = 4x + 9 Reorder the terms: 7(-1 + x) + -1(2 + -1x) = 4x + 9 (-1 * 7 + x * 7) + -1(2 + -1x) = 4x + 9 (-7 + 7x) + -1(2 + -1x) = 4x + 9 -7 + 7x + (2 * -1 + -1x * -1) = 4x + 9 -7 + 7x + (-2 + 1x) = 4x + 9 Reorder the terms: -7 + -2 + 7x + 1x = 4x + 9 Combine like terms: -7 + -2 = -9 -9 + 7x + 1x = 4x + 9 Combine like terms: 7x + 1x = 8x -9 + 8x = 4x + 9 Reorder the terms: -9 + 8x = 9 + 4x Solving -9 + 8x = 9 + 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 + 8x + -4x = 9 + 4x + -4x Combine like terms: 8x + -4x = 4x -9 + 4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 4x = 9 + 0 -9 + 4x = 9 Add '9' to each side of the equation. -9 + 9 + 4x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 9 + 9 4x = 9 + 9 Combine like terms: 9 + 9 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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