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Simplifying 7(x + -6) = 2(x + 4) Reorder the terms: 7(-6 + x) = 2(x + 4) (-6 * 7 + x * 7) = 2(x + 4) (-42 + 7x) = 2(x + 4) Reorder the terms: -42 + 7x = 2(4 + x) -42 + 7x = (4 * 2 + x * 2) -42 + 7x = (8 + 2x) Solving -42 + 7x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x -42 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 5x = 8 + 0 -42 + 5x = 8 Add '42' to each side of the equation. -42 + 42 + 5x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 8 + 42 5x = 8 + 42 Combine like terms: 8 + 42 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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