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Simplifying 4x + -7 + 5x + 12 = 3x + 28 Reorder the terms: -7 + 12 + 4x + 5x = 3x + 28 Combine like terms: -7 + 12 = 5 5 + 4x + 5x = 3x + 28 Combine like terms: 4x + 5x = 9x 5 + 9x = 3x + 28 Reorder the terms: 5 + 9x = 28 + 3x Solving 5 + 9x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 9x + -3x = 28 + 3x + -3x Combine like terms: 9x + -3x = 6x 5 + 6x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 6x = 28 + 0 5 + 6x = 28 Add '-5' to each side of the equation. 5 + -5 + 6x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 28 + -5 6x = 28 + -5 Combine like terms: 28 + -5 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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