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Simplifying 7(x + -6) = 5x + -42 Reorder the terms: 7(-6 + x) = 5x + -42 (-6 * 7 + x * 7) = 5x + -42 (-42 + 7x) = 5x + -42 Reorder the terms: -42 + 7x = -42 + 5x Add '42' to each side of the equation. -42 + 42 + 7x = -42 + 42 + 5x Combine like terms: -42 + 42 = 0 0 + 7x = -42 + 42 + 5x 7x = -42 + 42 + 5x Combine like terms: -42 + 42 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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