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Simplifying 40 + 8x = 4(x + -5) + -8x Reorder the terms: 40 + 8x = 4(-5 + x) + -8x 40 + 8x = (-5 * 4 + x * 4) + -8x 40 + 8x = (-20 + 4x) + -8x Combine like terms: 4x + -8x = -4x 40 + 8x = -20 + -4x Solving 40 + 8x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 40 + 8x + 4x = -20 + -4x + 4x Combine like terms: 8x + 4x = 12x 40 + 12x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 12x = -20 + 0 40 + 12x = -20 Add '-40' to each side of the equation. 40 + -40 + 12x = -20 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = -20 + -40 12x = -20 + -40 Combine like terms: -20 + -40 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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