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Simplifying 7x + -2 = -3 + 2(x + 8) Reorder the terms: -2 + 7x = -3 + 2(x + 8) Reorder the terms: -2 + 7x = -3 + 2(8 + x) -2 + 7x = -3 + (8 * 2 + x * 2) -2 + 7x = -3 + (16 + 2x) Combine like terms: -3 + 16 = 13 -2 + 7x = 13 + 2x Solving -2 + 7x = 13 + 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. -2 + 7x + -2x = 13 + 2x + -2x Combine like terms: 7x + -2x = 5x -2 + 5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 5x = 13 + 0 -2 + 5x = 13 Add '2' to each side of the equation. -2 + 2 + 5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 13 + 2 5x = 13 + 2 Combine like terms: 13 + 2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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