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