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Simplifying 7x + -48 = 2(x + 6) Reorder the terms: -48 + 7x = 2(x + 6) Reorder the terms: -48 + 7x = 2(6 + x) -48 + 7x = (6 * 2 + x * 2) -48 + 7x = (12 + 2x) Solving -48 + 7x = 12 + 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. -48 + 7x + -2x = 12 + 2x + -2x Combine like terms: 7x + -2x = 5x -48 + 5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 5x = 12 + 0 -48 + 5x = 12 Add '48' to each side of the equation. -48 + 48 + 5x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 12 + 48 5x = 12 + 48 Combine like terms: 12 + 48 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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