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Simplifying 5 + -5x = 6(-7x + 7) Reorder the terms: 5 + -5x = 6(7 + -7x) 5 + -5x = (7 * 6 + -7x * 6) 5 + -5x = (42 + -42x) Solving 5 + -5x = 42 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 5 + -5x + 42x = 42 + -42x + 42x Combine like terms: -5x + 42x = 37x 5 + 37x = 42 + -42x + 42x Combine like terms: -42x + 42x = 0 5 + 37x = 42 + 0 5 + 37x = 42 Add '-5' to each side of the equation. 5 + -5 + 37x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 42 + -5 37x = 42 + -5 Combine like terms: 42 + -5 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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