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Simplifying 7(6 + -6x) + 5 = -3 + 8 (6 * 7 + -6x * 7) + 5 = -3 + 8 (42 + -42x) + 5 = -3 + 8 Reorder the terms: 42 + 5 + -42x = -3 + 8 Combine like terms: 42 + 5 = 47 47 + -42x = -3 + 8 Combine like terms: -3 + 8 = 5 47 + -42x = 5 Solving 47 + -42x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -42x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -42x = 5 + -47 -42x = 5 + -47 Combine like terms: 5 + -47 = -42 -42x = -42 Divide each side by '-42'. x = 1 Simplifying x = 1
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