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Simplifying 12 + 9 + -4x + -4 = 3x + -7 + -1x + 30 Reorder the terms: 12 + 9 + -4 + -4x = 3x + -7 + -1x + 30 Combine like terms: 12 + 9 = 21 21 + -4 + -4x = 3x + -7 + -1x + 30 Combine like terms: 21 + -4 = 17 17 + -4x = 3x + -7 + -1x + 30 Reorder the terms: 17 + -4x = -7 + 30 + 3x + -1x Combine like terms: -7 + 30 = 23 17 + -4x = 23 + 3x + -1x Combine like terms: 3x + -1x = 2x 17 + -4x = 23 + 2x Solving 17 + -4x = 23 + 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. 17 + -4x + -2x = 23 + 2x + -2x Combine like terms: -4x + -2x = -6x 17 + -6x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -6x = 23 + 0 17 + -6x = 23 Add '-17' to each side of the equation. 17 + -17 + -6x = 23 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 23 + -17 -6x = 23 + -17 Combine like terms: 23 + -17 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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