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Simplifying 2(3x + -1) + -4(x + 2) = -3x Reorder the terms: 2(-1 + 3x) + -4(x + 2) = -3x (-1 * 2 + 3x * 2) + -4(x + 2) = -3x (-2 + 6x) + -4(x + 2) = -3x Reorder the terms: -2 + 6x + -4(2 + x) = -3x -2 + 6x + (2 * -4 + x * -4) = -3x -2 + 6x + (-8 + -4x) = -3x Reorder the terms: -2 + -8 + 6x + -4x = -3x Combine like terms: -2 + -8 = -10 -10 + 6x + -4x = -3x Combine like terms: 6x + -4x = 2x -10 + 2x = -3x Solving -10 + 2x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 2x + 3x = -3x + 3x Combine like terms: 2x + 3x = 5x -10 + 5x = -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 5x = 0 Add '10' to each side of the equation. -10 + 10 + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 0 + 10 5x = 0 + 10 Combine like terms: 0 + 10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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