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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 = -4x -9 + 7x = 24 + -4x Solving -9 + 7x = 24 + -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. -9 + 7x + 4x = 24 + -4x + 4x Combine like terms: 7x + 4x = 11x -9 + 11x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 11x = 24 + 0 -9 + 11x = 24 Add '9' to each side of the equation. -9 + 9 + 11x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 24 + 9 11x = 24 + 9 Combine like terms: 24 + 9 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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