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Simplifying 9x + -10 + -5x + 12x = x + 6 + -3x + 10 Reorder the terms: -10 + 9x + -5x + 12x = x + 6 + -3x + 10 Combine like terms: 9x + -5x = 4x -10 + 4x + 12x = x + 6 + -3x + 10 Combine like terms: 4x + 12x = 16x -10 + 16x = x + 6 + -3x + 10 Reorder the terms: -10 + 16x = 6 + 10 + x + -3x Combine like terms: 6 + 10 = 16 -10 + 16x = 16 + x + -3x Combine like terms: x + -3x = -2x -10 + 16x = 16 + -2x Solving -10 + 16x = 16 + -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. -10 + 16x + 2x = 16 + -2x + 2x Combine like terms: 16x + 2x = 18x -10 + 18x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 18x = 16 + 0 -10 + 18x = 16 Add '10' to each side of the equation. -10 + 10 + 18x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 18x = 16 + 10 18x = 16 + 10 Combine like terms: 16 + 10 = 26 18x = 26 Divide each side by '18'. x = 1.444444444 Simplifying x = 1.444444444
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