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Simplifying 2(2x + -1) = 6(x + 2) Reorder the terms: 2(-1 + 2x) = 6(x + 2) (-1 * 2 + 2x * 2) = 6(x + 2) (-2 + 4x) = 6(x + 2) Reorder the terms: -2 + 4x = 6(2 + x) -2 + 4x = (2 * 6 + x * 6) -2 + 4x = (12 + 6x) Solving -2 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = 12 + 0 -2 + -2x = 12 Add '2' to each side of the equation. -2 + 2 + -2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 12 + 2 -2x = 12 + 2 Combine like terms: 12 + 2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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