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Simplifying 40 + -8x = -8x + -5(x + -1) Reorder the terms: 40 + -8x = -8x + -5(-1 + x) 40 + -8x = -8x + (-1 * -5 + x * -5) 40 + -8x = -8x + (5 + -5x) Reorder the terms: 40 + -8x = 5 + -8x + -5x Combine like terms: -8x + -5x = -13x 40 + -8x = 5 + -13x Solving 40 + -8x = 5 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 40 + -8x + 13x = 5 + -13x + 13x Combine like terms: -8x + 13x = 5x 40 + 5x = 5 + -13x + 13x Combine like terms: -13x + 13x = 0 40 + 5x = 5 + 0 40 + 5x = 5 Add '-40' to each side of the equation. 40 + -40 + 5x = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 5 + -40 5x = 5 + -40 Combine like terms: 5 + -40 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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