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Simplifying 9x + -7 + -3x + 5 + 6x + -10 = 2x + -3 + 8x Reorder the terms: -7 + 5 + -10 + 9x + -3x + 6x = 2x + -3 + 8x Combine like terms: -7 + 5 = -2 -2 + -10 + 9x + -3x + 6x = 2x + -3 + 8x Combine like terms: -2 + -10 = -12 -12 + 9x + -3x + 6x = 2x + -3 + 8x Combine like terms: 9x + -3x = 6x -12 + 6x + 6x = 2x + -3 + 8x Combine like terms: 6x + 6x = 12x -12 + 12x = 2x + -3 + 8x Reorder the terms: -12 + 12x = -3 + 2x + 8x Combine like terms: 2x + 8x = 10x -12 + 12x = -3 + 10x Solving -12 + 12x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 12x + -10x = -3 + 10x + -10x Combine like terms: 12x + -10x = 2x -12 + 2x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 2x = -3 + 0 -12 + 2x = -3 Add '12' to each side of the equation. -12 + 12 + 2x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -3 + 12 2x = -3 + 12 Combine like terms: -3 + 12 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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