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Simplifying x + -6x + 11 + 3x + 4x + -4 = 13 + 2.4 Reorder the terms: 11 + -4 + x + -6x + 3x + 4x = 13 + 2.4 Combine like terms: 11 + -4 = 7 7 + x + -6x + 3x + 4x = 13 + 2.4 Combine like terms: x + -6x = -5x 7 + -5x + 3x + 4x = 13 + 2.4 Combine like terms: -5x + 3x = -2x 7 + -2x + 4x = 13 + 2.4 Combine like terms: -2x + 4x = 2x 7 + 2x = 13 + 2.4 Combine like terms: 13 + 2.4 = 15.4 7 + 2x = 15.4 Solving 7 + 2x = 15.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 15.4 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 15.4 + -7 2x = 15.4 + -7 Combine like terms: 15.4 + -7 = 8.4 2x = 8.4 Divide each side by '2'. x = 4.2 Simplifying x = 4.2
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