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Simplifying 8x + -12x + x + -2 = 2(x + 4) Reorder the terms: -2 + 8x + -12x + x = 2(x + 4) Combine like terms: 8x + -12x = -4x -2 + -4x + x = 2(x + 4) Combine like terms: -4x + x = -3x -2 + -3x = 2(x + 4) Reorder the terms: -2 + -3x = 2(4 + x) -2 + -3x = (4 * 2 + x * 2) -2 + -3x = (8 + 2x) Solving -2 + -3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -3x + -2x = 8 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = 8 + 0 -2 + -5x = 8 Add '2' to each side of the equation. -2 + 2 + -5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 8 + 2 -5x = 8 + 2 Combine like terms: 8 + 2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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