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Simplifying 3x + 8 + -12 = 2(2x + -3) + x Reorder the terms: 8 + -12 + 3x = 2(2x + -3) + x Combine like terms: 8 + -12 = -4 -4 + 3x = 2(2x + -3) + x Reorder the terms: -4 + 3x = 2(-3 + 2x) + x -4 + 3x = (-3 * 2 + 2x * 2) + x -4 + 3x = (-6 + 4x) + x Combine like terms: 4x + x = 5x -4 + 3x = -6 + 5x Solving -4 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -6 + 0 -4 + -2x = -6 Add '4' to each side of the equation. -4 + 4 + -2x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -6 + 4 -2x = -6 + 4 Combine like terms: -6 + 4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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