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Simplifying 6x + -2(x + 3) = 3(x + -2) + -5x Reorder the terms: 6x + -2(3 + x) = 3(x + -2) + -5x 6x + (3 * -2 + x * -2) = 3(x + -2) + -5x 6x + (-6 + -2x) = 3(x + -2) + -5x Reorder the terms: -6 + 6x + -2x = 3(x + -2) + -5x Combine like terms: 6x + -2x = 4x -6 + 4x = 3(x + -2) + -5x Reorder the terms: -6 + 4x = 3(-2 + x) + -5x -6 + 4x = (-2 * 3 + x * 3) + -5x -6 + 4x = (-6 + 3x) + -5x Combine like terms: 3x + -5x = -2x -6 + 4x = -6 + -2x Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + -2x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + -2x 4x = -6 + 6 + -2x Combine like terms: -6 + 6 = 0 4x = 0 + -2x 4x = -2x Solving 4x = -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. 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 6x = -2x + 2x Combine like terms: -2x + 2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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