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Simplifying 7x + 1 = 2(2x + -2) Reorder the terms: 1 + 7x = 2(2x + -2) Reorder the terms: 1 + 7x = 2(-2 + 2x) 1 + 7x = (-2 * 2 + 2x * 2) 1 + 7x = (-4 + 4x) Solving 1 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x 1 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 3x = -4 + 0 1 + 3x = -4 Add '-1' to each side of the equation. 1 + -1 + 3x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -4 + -1 3x = -4 + -1 Combine like terms: -4 + -1 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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