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Simplifying 3x + -8 + 6x + -12 = x + -10 + 9x + -3 Reorder the terms: -8 + -12 + 3x + 6x = x + -10 + 9x + -3 Combine like terms: -8 + -12 = -20 -20 + 3x + 6x = x + -10 + 9x + -3 Combine like terms: 3x + 6x = 9x -20 + 9x = x + -10 + 9x + -3 Reorder the terms: -20 + 9x = -10 + -3 + x + 9x Combine like terms: -10 + -3 = -13 -20 + 9x = -13 + x + 9x Combine like terms: x + 9x = 10x -20 + 9x = -13 + 10x Solving -20 + 9x = -13 + 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. -20 + 9x + -10x = -13 + 10x + -10x Combine like terms: 9x + -10x = -1x -20 + -1x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -1x = -13 + 0 -20 + -1x = -13 Add '20' to each side of the equation. -20 + 20 + -1x = -13 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -13 + 20 -1x = -13 + 20 Combine like terms: -13 + 20 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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