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Simplifying 9x + -1(8x + 2) = 2x + -40 Reorder the terms: 9x + -1(2 + 8x) = 2x + -40 9x + (2 * -1 + 8x * -1) = 2x + -40 9x + (-2 + -8x) = 2x + -40 Reorder the terms: -2 + 9x + -8x = 2x + -40 Combine like terms: 9x + -8x = 1x -2 + 1x = 2x + -40 Reorder the terms: -2 + 1x = -40 + 2x Solving -2 + 1x = -40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 1x + -2x = -40 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = -40 + 0 -2 + -1x = -40 Add '2' to each side of the equation. -2 + 2 + -1x = -40 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -40 + 2 -1x = -40 + 2 Combine like terms: -40 + 2 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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