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Simplifying 40 + 5x = -7(4x + -1) Reorder the terms: 40 + 5x = -7(-1 + 4x) 40 + 5x = (-1 * -7 + 4x * -7) 40 + 5x = (7 + -28x) Solving 40 + 5x = 7 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 40 + 5x + 28x = 7 + -28x + 28x Combine like terms: 5x + 28x = 33x 40 + 33x = 7 + -28x + 28x Combine like terms: -28x + 28x = 0 40 + 33x = 7 + 0 40 + 33x = 7 Add '-40' to each side of the equation. 40 + -40 + 33x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 33x = 7 + -40 33x = 7 + -40 Combine like terms: 7 + -40 = -33 33x = -33 Divide each side by '33'. x = -1 Simplifying x = -1
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