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Simplifying 12 + 7x + -21 = -8(3 + -1x) + 4 Reorder the terms: 12 + -21 + 7x = -8(3 + -1x) + 4 Combine like terms: 12 + -21 = -9 -9 + 7x = -8(3 + -1x) + 4 -9 + 7x = (3 * -8 + -1x * -8) + 4 -9 + 7x = (-24 + 8x) + 4 Reorder the terms: -9 + 7x = -24 + 4 + 8x Combine like terms: -24 + 4 = -20 -9 + 7x = -20 + 8x Solving -9 + 7x = -20 + 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. -9 + 7x + -8x = -20 + 8x + -8x Combine like terms: 7x + -8x = -1x -9 + -1x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -1x = -20 + 0 -9 + -1x = -20 Add '9' to each side of the equation. -9 + 9 + -1x = -20 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -20 + 9 -1x = -20 + 9 Combine like terms: -20 + 9 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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