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Simplifying 8(2x + -1) + -4x = 2x + 12 Reorder the terms: 8(-1 + 2x) + -4x = 2x + 12 (-1 * 8 + 2x * 8) + -4x = 2x + 12 (-8 + 16x) + -4x = 2x + 12 Combine like terms: 16x + -4x = 12x -8 + 12x = 2x + 12 Reorder the terms: -8 + 12x = 12 + 2x Solving -8 + 12x = 12 + 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. -8 + 12x + -2x = 12 + 2x + -2x Combine like terms: 12x + -2x = 10x -8 + 10x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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