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Simplifying x + 6 = 2(2x + -1) Reorder the terms: 6 + x = 2(2x + -1) Reorder the terms: 6 + x = 2(-1 + 2x) 6 + x = (-1 * 2 + 2x * 2) 6 + x = (-2 + 4x) Solving 6 + x = -2 + 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. 6 + x + -4x = -2 + 4x + -4x Combine like terms: x + -4x = -3x 6 + -3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3x = -2 + 0 6 + -3x = -2 Add '-6' to each side of the equation. 6 + -6 + -3x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -2 + -6 -3x = -2 + -6 Combine like terms: -2 + -6 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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