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Simplifying -1x + -4(8x + -3) = -7x + -40 Reorder the terms: -1x + -4(-3 + 8x) = -7x + -40 -1x + (-3 * -4 + 8x * -4) = -7x + -40 -1x + (12 + -32x) = -7x + -40 Reorder the terms: 12 + -1x + -32x = -7x + -40 Combine like terms: -1x + -32x = -33x 12 + -33x = -7x + -40 Reorder the terms: 12 + -33x = -40 + -7x Solving 12 + -33x = -40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -33x + 7x = -40 + -7x + 7x Combine like terms: -33x + 7x = -26x 12 + -26x = -40 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -26x = -40 + 0 12 + -26x = -40 Add '-12' to each side of the equation. 12 + -12 + -26x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -26x = -40 + -12 -26x = -40 + -12 Combine like terms: -40 + -12 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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