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Simplifying 12x + 3x + -7 = 4x + 31 Reorder the terms: -7 + 12x + 3x = 4x + 31 Combine like terms: 12x + 3x = 15x -7 + 15x = 4x + 31 Reorder the terms: -7 + 15x = 31 + 4x Solving -7 + 15x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 15x + -4x = 31 + 4x + -4x Combine like terms: 15x + -4x = 11x -7 + 11x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 11x = 31 + 0 -7 + 11x = 31 Add '7' to each side of the equation. -7 + 7 + 11x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 31 + 7 11x = 31 + 7 Combine like terms: 31 + 7 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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