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Simplifying 3x + -14 + -5x + 4 = 7 + -8x + -9 + 2x Reorder the terms: -14 + 4 + 3x + -5x = 7 + -8x + -9 + 2x Combine like terms: -14 + 4 = -10 -10 + 3x + -5x = 7 + -8x + -9 + 2x Combine like terms: 3x + -5x = -2x -10 + -2x = 7 + -8x + -9 + 2x Reorder the terms: -10 + -2x = 7 + -9 + -8x + 2x Combine like terms: 7 + -9 = -2 -10 + -2x = -2 + -8x + 2x Combine like terms: -8x + 2x = -6x -10 + -2x = -2 + -6x Solving -10 + -2x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -2x + 6x = -2 + -6x + 6x Combine like terms: -2x + 6x = 4x -10 + 4x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 4x = -2 + 0 -10 + 4x = -2 Add '10' to each side of the equation. -10 + 10 + 4x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -2 + 10 4x = -2 + 10 Combine like terms: -2 + 10 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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