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Simplifying 7x + 40 = 8(5 + -7x) Reorder the terms: 40 + 7x = 8(5 + -7x) 40 + 7x = (5 * 8 + -7x * 8) 40 + 7x = (40 + -56x) Add '-40' to each side of the equation. 40 + -40 + 7x = 40 + -40 + -56x Combine like terms: 40 + -40 = 0 0 + 7x = 40 + -40 + -56x 7x = 40 + -40 + -56x Combine like terms: 40 + -40 = 0 7x = 0 + -56x 7x = -56x Solving 7x = -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 7x + 56x = -56x + 56x Combine like terms: 7x + 56x = 63x 63x = -56x + 56x Combine like terms: -56x + 56x = 0 63x = 0 Divide each side by '63'. x = 0 Simplifying x = 0
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