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Simplifying 12x + -8 = 4(x + 8) Reorder the terms: -8 + 12x = 4(x + 8) Reorder the terms: -8 + 12x = 4(8 + x) -8 + 12x = (8 * 4 + x * 4) -8 + 12x = (32 + 4x) Solving -8 + 12x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x -8 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 8x = 32 + 0 -8 + 8x = 32 Add '8' to each side of the equation. -8 + 8 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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