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Simplifying 6x + -24 + 2x + 10 = 3x + 3 + 4 Reorder the terms: -24 + 10 + 6x + 2x = 3x + 3 + 4 Combine like terms: -24 + 10 = -14 -14 + 6x + 2x = 3x + 3 + 4 Combine like terms: 6x + 2x = 8x -14 + 8x = 3x + 3 + 4 Reorder the terms: -14 + 8x = 3 + 4 + 3x Combine like terms: 3 + 4 = 7 -14 + 8x = 7 + 3x Solving -14 + 8x = 7 + 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. -14 + 8x + -3x = 7 + 3x + -3x Combine like terms: 8x + -3x = 5x -14 + 5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 5x = 7 + 0 -14 + 5x = 7 Add '14' to each side of the equation. -14 + 14 + 5x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 7 + 14 5x = 7 + 14 Combine like terms: 7 + 14 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
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