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Simplifying 2x + -8(1 + -1x) = 6x + -40 2x + (1 * -8 + -1x * -8) = 6x + -40 2x + (-8 + 8x) = 6x + -40 Reorder the terms: -8 + 2x + 8x = 6x + -40 Combine like terms: 2x + 8x = 10x -8 + 10x = 6x + -40 Reorder the terms: -8 + 10x = -40 + 6x Solving -8 + 10x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 10x + -6x = -40 + 6x + -6x Combine like terms: 10x + -6x = 4x -8 + 4x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 4x = -40 + 0 -8 + 4x = -40 Add '8' to each side of the equation. -8 + 8 + 4x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -40 + 8 4x = -40 + 8 Combine like terms: -40 + 8 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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