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Simplifying 6x + -8 + 2 + 4 = 4x + 2(2x + 1) Reorder the terms: -8 + 2 + 4 + 6x = 4x + 2(2x + 1) Combine like terms: -8 + 2 = -6 -6 + 4 + 6x = 4x + 2(2x + 1) Combine like terms: -6 + 4 = -2 -2 + 6x = 4x + 2(2x + 1) Reorder the terms: -2 + 6x = 4x + 2(1 + 2x) -2 + 6x = 4x + (1 * 2 + 2x * 2) -2 + 6x = 4x + (2 + 4x) Reorder the terms: -2 + 6x = 2 + 4x + 4x Combine like terms: 4x + 4x = 8x -2 + 6x = 2 + 8x Solving -2 + 6x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 6x + -8x = 2 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = 2 + 0 -2 + -2x = 2 Add '2' to each side of the equation. -2 + 2 + -2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 2 + 2 -2x = 2 + 2 Combine like terms: 2 + 2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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