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Simplifying -7(4 + -2x) = -40 + 8x (4 * -7 + -2x * -7) = -40 + 8x (-28 + 14x) = -40 + 8x Solving -28 + 14x = -40 + 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. -28 + 14x + -8x = -40 + 8x + -8x Combine like terms: 14x + -8x = 6x -28 + 6x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 6x = -40 + 0 -28 + 6x = -40 Add '28' to each side of the equation. -28 + 28 + 6x = -40 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = -40 + 28 6x = -40 + 28 Combine like terms: -40 + 28 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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