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Simplifying 7x + 1 = 2(x + -2) Reorder the terms: 1 + 7x = 2(x + -2) Reorder the terms: 1 + 7x = 2(-2 + x) 1 + 7x = (-2 * 2 + x * 2) 1 + 7x = (-4 + 2x) Solving 1 + 7x = -4 + 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. 1 + 7x + -2x = -4 + 2x + -2x Combine like terms: 7x + -2x = 5x 1 + 5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 5x = -4 + 0 1 + 5x = -4 Add '-1' to each side of the equation. 1 + -1 + 5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -4 + -1 5x = -4 + -1 Combine like terms: -4 + -1 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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