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Simplifying 2(x + 1) = 7x + -48 Reorder the terms: 2(1 + x) = 7x + -48 (1 * 2 + x * 2) = 7x + -48 (2 + 2x) = 7x + -48 Reorder the terms: 2 + 2x = -48 + 7x Solving 2 + 2x = -48 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 2x + -7x = -48 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = -48 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = -48 + 0 2 + -5x = -48 Add '-2' to each side of the equation. 2 + -2 + -5x = -48 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -48 + -2 -5x = -48 + -2 Combine like terms: -48 + -2 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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