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Simplifying 2x + -8 = 7(x + 1) Reorder the terms: -8 + 2x = 7(x + 1) Reorder the terms: -8 + 2x = 7(1 + x) -8 + 2x = (1 * 7 + x * 7) -8 + 2x = (7 + 7x) Solving -8 + 2x = 7 + 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. -8 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x -8 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -5x = 7 + 0 -8 + -5x = 7 Add '8' to each side of the equation. -8 + 8 + -5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 7 + 8 -5x = 7 + 8 Combine like terms: 7 + 8 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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