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Simplifying 12 + 7x + -21 = -8(3 + -1x) + 3x Reorder the terms: 12 + -21 + 7x = -8(3 + -1x) + 3x Combine like terms: 12 + -21 = -9 -9 + 7x = -8(3 + -1x) + 3x -9 + 7x = (3 * -8 + -1x * -8) + 3x -9 + 7x = (-24 + 8x) + 3x Combine like terms: 8x + 3x = 11x -9 + 7x = -24 + 11x Solving -9 + 7x = -24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9 + 7x + -11x = -24 + 11x + -11x Combine like terms: 7x + -11x = -4x -9 + -4x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + -4x = -24 + 0 -9 + -4x = -24 Add '9' to each side of the equation. -9 + 9 + -4x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -24 + 9 -4x = -24 + 9 Combine like terms: -24 + 9 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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