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Simplifying 2x + -9(x + 8) = x + 1 Reorder the terms: 2x + -9(8 + x) = x + 1 2x + (8 * -9 + x * -9) = x + 1 2x + (-72 + -9x) = x + 1 Reorder the terms: -72 + 2x + -9x = x + 1 Combine like terms: 2x + -9x = -7x -72 + -7x = x + 1 Reorder the terms: -72 + -7x = 1 + x Solving -72 + -7x = 1 + x 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. -72 + -7x + -1x = 1 + x + -1x Combine like terms: -7x + -1x = -8x -72 + -8x = 1 + x + -1x Combine like terms: x + -1x = 0 -72 + -8x = 1 + 0 -72 + -8x = 1 Add '72' to each side of the equation. -72 + 72 + -8x = 1 + 72 Combine like terms: -72 + 72 = 0 0 + -8x = 1 + 72 -8x = 1 + 72 Combine like terms: 1 + 72 = 73 -8x = 73 Divide each side by '-8'. x = -9.125 Simplifying x = -9.125
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