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