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Simplifying -3x + 9x + -10 = -2(3x + 2) Reorder the terms: -10 + -3x + 9x = -2(3x + 2) Combine like terms: -3x + 9x = 6x -10 + 6x = -2(3x + 2) Reorder the terms: -10 + 6x = -2(2 + 3x) -10 + 6x = (2 * -2 + 3x * -2) -10 + 6x = (-4 + -6x) Solving -10 + 6x = -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. -10 + 6x + 6x = -4 + -6x + 6x Combine like terms: 6x + 6x = 12x -10 + 12x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 12x = -4 + 0 -10 + 12x = -4 Add '10' to each side of the equation. -10 + 10 + 12x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = -4 + 10 12x = -4 + 10 Combine like terms: -4 + 10 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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