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Simplifying 4 + 6x + -12 + -5x = -12x + 10x + 9 + 4 Reorder the terms: 4 + -12 + 6x + -5x = -12x + 10x + 9 + 4 Combine like terms: 4 + -12 = -8 -8 + 6x + -5x = -12x + 10x + 9 + 4 Combine like terms: 6x + -5x = 1x -8 + 1x = -12x + 10x + 9 + 4 Reorder the terms: -8 + 1x = 9 + 4 + -12x + 10x Combine like terms: 9 + 4 = 13 -8 + 1x = 13 + -12x + 10x Combine like terms: -12x + 10x = -2x -8 + 1x = 13 + -2x Solving -8 + 1x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 1x + 2x = 13 + -2x + 2x Combine like terms: 1x + 2x = 3x -8 + 3x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 3x = 13 + 0 -8 + 3x = 13 Add '8' to each side of the equation. -8 + 8 + 3x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 13 + 8 3x = 13 + 8 Combine like terms: 13 + 8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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