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Simplifying 7x + -2(x + 2) + -1(9x + -3) = 8 Reorder the terms: 7x + -2(2 + x) + -1(9x + -3) = 8 7x + (2 * -2 + x * -2) + -1(9x + -3) = 8 7x + (-4 + -2x) + -1(9x + -3) = 8 Reorder the terms: 7x + -4 + -2x + -1(-3 + 9x) = 8 7x + -4 + -2x + (-3 * -1 + 9x * -1) = 8 7x + -4 + -2x + (3 + -9x) = 8 Reorder the terms: -4 + 3 + 7x + -2x + -9x = 8 Combine like terms: -4 + 3 = -1 -1 + 7x + -2x + -9x = 8 Combine like terms: 7x + -2x = 5x -1 + 5x + -9x = 8 Combine like terms: 5x + -9x = -4x -1 + -4x = 8 Solving -1 + -4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 8 + 1 -4x = 8 + 1 Combine like terms: 8 + 1 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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