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Simplifying -2x + -40 = 8(1 + -1x) Reorder the terms: -40 + -2x = 8(1 + -1x) -40 + -2x = (1 * 8 + -1x * 8) -40 + -2x = (8 + -8x) Solving -40 + -2x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + -2x + 8x = 8 + -8x + 8x Combine like terms: -2x + 8x = 6x -40 + 6x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + 6x = 8 + 0 -40 + 6x = 8 Add '40' to each side of the equation. -40 + 40 + 6x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 8 + 40 6x = 8 + 40 Combine like terms: 8 + 40 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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