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