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Simplifying -8(x + 1) = -2x + 40 Reorder the terms: -8(1 + x) = -2x + 40 (1 * -8 + x * -8) = -2x + 40 (-8 + -8x) = -2x + 40 Reorder the terms: -8 + -8x = 40 + -2x Solving -8 + -8x = 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. -8 + -8x + 2x = 40 + -2x + 2x Combine like terms: -8x + 2x = -6x -8 + -6x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -6x = 40 + 0 -8 + -6x = 40 Add '8' to each side of the equation. -8 + 8 + -6x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 40 + 8 -6x = 40 + 8 Combine like terms: 40 + 8 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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