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Simplifying 9x + -12 = 4(2x + 4) + -4 Reorder the terms: -12 + 9x = 4(2x + 4) + -4 Reorder the terms: -12 + 9x = 4(4 + 2x) + -4 -12 + 9x = (4 * 4 + 2x * 4) + -4 -12 + 9x = (16 + 8x) + -4 Reorder the terms: -12 + 9x = 16 + -4 + 8x Combine like terms: 16 + -4 = 12 -12 + 9x = 12 + 8x Solving -12 + 9x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 9x + -8x = 12 + 8x + -8x Combine like terms: 9x + -8x = 1x -12 + 1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 1x = 12 + 0 -12 + 1x = 12 Add '12' to each side of the equation. -12 + 12 + 1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 12 + 12 1x = 12 + 12 Combine like terms: 12 + 12 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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