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Simplifying 10x + -9 + 2x + 3 = 2(3x + 2) Reorder the terms: -9 + 3 + 10x + 2x = 2(3x + 2) Combine like terms: -9 + 3 = -6 -6 + 10x + 2x = 2(3x + 2) Combine like terms: 10x + 2x = 12x -6 + 12x = 2(3x + 2) Reorder the terms: -6 + 12x = 2(2 + 3x) -6 + 12x = (2 * 2 + 3x * 2) -6 + 12x = (4 + 6x) Solving -6 + 12x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 4 + 0 -6 + 6x = 4 Add '6' to each side of the equation. -6 + 6 + 6x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 4 + 6 6x = 4 + 6 Combine like terms: 4 + 6 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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