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Simplifying 2(x + -8) + 12 = 6(3 + -1x) + 2 Reorder the terms: 2(-8 + x) + 12 = 6(3 + -1x) + 2 (-8 * 2 + x * 2) + 12 = 6(3 + -1x) + 2 (-16 + 2x) + 12 = 6(3 + -1x) + 2 Reorder the terms: -16 + 12 + 2x = 6(3 + -1x) + 2 Combine like terms: -16 + 12 = -4 -4 + 2x = 6(3 + -1x) + 2 -4 + 2x = (3 * 6 + -1x * 6) + 2 -4 + 2x = (18 + -6x) + 2 Reorder the terms: -4 + 2x = 18 + 2 + -6x Combine like terms: 18 + 2 = 20 -4 + 2x = 20 + -6x Solving -4 + 2x = 20 + -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. -4 + 2x + 6x = 20 + -6x + 6x Combine like terms: 2x + 6x = 8x -4 + 8x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 8x = 20 + 0 -4 + 8x = 20 Add '4' to each side of the equation. -4 + 4 + 8x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 20 + 4 8x = 20 + 4 Combine like terms: 20 + 4 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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