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Simplifying 5x + -10 + -12x = 4 + -8x + -9 Reorder the terms: -10 + 5x + -12x = 4 + -8x + -9 Combine like terms: 5x + -12x = -7x -10 + -7x = 4 + -8x + -9 Reorder the terms: -10 + -7x = 4 + -9 + -8x Combine like terms: 4 + -9 = -5 -10 + -7x = -5 + -8x Solving -10 + -7x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -7x + 8x = -5 + -8x + 8x Combine like terms: -7x + 8x = 1x -10 + 1x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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