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Simplifying 9x + -18 + -4x + -12 = 6x + 30 + 3x + -21 Reorder the terms: -18 + -12 + 9x + -4x = 6x + 30 + 3x + -21 Combine like terms: -18 + -12 = -30 -30 + 9x + -4x = 6x + 30 + 3x + -21 Combine like terms: 9x + -4x = 5x -30 + 5x = 6x + 30 + 3x + -21 Reorder the terms: -30 + 5x = 30 + -21 + 6x + 3x Combine like terms: 30 + -21 = 9 -30 + 5x = 9 + 6x + 3x Combine like terms: 6x + 3x = 9x -30 + 5x = 9 + 9x Solving -30 + 5x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + 5x + -9x = 9 + 9x + -9x Combine like terms: 5x + -9x = -4x -30 + -4x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -4x = 9 + 0 -30 + -4x = 9 Add '30' to each side of the equation. -30 + 30 + -4x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = 9 + 30 -4x = 9 + 30 Combine like terms: 9 + 30 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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