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Simplifying 4x + -12 + 9x = 2x + -55 + -23 Reorder the terms: -12 + 4x + 9x = 2x + -55 + -23 Combine like terms: 4x + 9x = 13x -12 + 13x = 2x + -55 + -23 Reorder the terms: -12 + 13x = -55 + -23 + 2x Combine like terms: -55 + -23 = -78 -12 + 13x = -78 + 2x Solving -12 + 13x = -78 + 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. -12 + 13x + -2x = -78 + 2x + -2x Combine like terms: 13x + -2x = 11x -12 + 11x = -78 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 11x = -78 + 0 -12 + 11x = -78 Add '12' to each side of the equation. -12 + 12 + 11x = -78 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = -78 + 12 11x = -78 + 12 Combine like terms: -78 + 12 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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