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Simplifying 12x + 9 + -4x = 3x + -78 + -1x + 30 Reorder the terms: 9 + 12x + -4x = 3x + -78 + -1x + 30 Combine like terms: 12x + -4x = 8x 9 + 8x = 3x + -78 + -1x + 30 Reorder the terms: 9 + 8x = -78 + 30 + 3x + -1x Combine like terms: -78 + 30 = -48 9 + 8x = -48 + 3x + -1x Combine like terms: 3x + -1x = 2x 9 + 8x = -48 + 2x Solving 9 + 8x = -48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 8x + -2x = -48 + 2x + -2x Combine like terms: 8x + -2x = 6x 9 + 6x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 6x = -48 + 0 9 + 6x = -48 Add '-9' to each side of the equation. 9 + -9 + 6x = -48 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = -48 + -9 6x = -48 + -9 Combine like terms: -48 + -9 = -57 6x = -57 Divide each side by '6'. x = -9.5 Simplifying x = -9.5
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