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Simplifying 5x + -12 = -6x + 23 + -4x Reorder the terms: -12 + 5x = -6x + 23 + -4x Reorder the terms: -12 + 5x = 23 + -6x + -4x Combine like terms: -6x + -4x = -10x -12 + 5x = 23 + -10x Solving -12 + 5x = 23 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 5x + 10x = 23 + -10x + 10x Combine like terms: 5x + 10x = 15x -12 + 15x = 23 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 15x = 23 + 0 -12 + 15x = 23 Add '12' to each side of the equation. -12 + 12 + 15x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 23 + 12 15x = 23 + 12 Combine like terms: 23 + 12 = 35 15x = 35 Divide each side by '15'. x = 2.333333333 Simplifying x = 2.333333333
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