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Simplifying 8(x + -2) = 4x + 12 Reorder the terms: 8(-2 + x) = 4x + 12 (-2 * 8 + x * 8) = 4x + 12 (-16 + 8x) = 4x + 12 Reorder the terms: -16 + 8x = 12 + 4x Solving -16 + 8x = 12 + 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. -16 + 8x + -4x = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x -16 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 4x = 12 + 0 -16 + 4x = 12 Add '16' to each side of the equation. -16 + 16 + 4x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 12 + 16 4x = 12 + 16 Combine like terms: 12 + 16 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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