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Simplifying 3.4x + 3 + 10 = -5x + 4 Reorder the terms: 3 + 10 + 3.4x = -5x + 4 Combine like terms: 3 + 10 = 13 13 + 3.4x = -5x + 4 Reorder the terms: 13 + 3.4x = 4 + -5x Solving 13 + 3.4x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 3.4x + 5x = 4 + -5x + 5x Combine like terms: 3.4x + 5x = 8.4x 13 + 8.4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 8.4x = 4 + 0 13 + 8.4x = 4 Add '-13' to each side of the equation. 13 + -13 + 8.4x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 8.4x = 4 + -13 8.4x = 4 + -13 Combine like terms: 4 + -13 = -9 8.4x = -9 Divide each side by '8.4'. x = -1.071428571 Simplifying x = -1.071428571
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