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Simplifying 12 + 7x + -21 = -8(3 + -1x) + 4x Reorder the terms: 12 + -21 + 7x = -8(3 + -1x) + 4x Combine like terms: 12 + -21 = -9 -9 + 7x = -8(3 + -1x) + 4x -9 + 7x = (3 * -8 + -1x * -8) + 4x -9 + 7x = (-24 + 8x) + 4x Combine like terms: 8x + 4x = 12x -9 + 7x = -24 + 12x Solving -9 + 7x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 7x + -12x = -24 + 12x + -12x Combine like terms: 7x + -12x = -5x -9 + -5x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -5x = -24 + 0 -9 + -5x = -24 Add '9' to each side of the equation. -9 + 9 + -5x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -24 + 9 -5x = -24 + 9 Combine like terms: -24 + 9 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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