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Simplifying 2x + -3(2x + 1) = 3x + -3 Reorder the terms: 2x + -3(1 + 2x) = 3x + -3 2x + (1 * -3 + 2x * -3) = 3x + -3 2x + (-3 + -6x) = 3x + -3 Reorder the terms: -3 + 2x + -6x = 3x + -3 Combine like terms: 2x + -6x = -4x -3 + -4x = 3x + -3 Reorder the terms: -3 + -4x = -3 + 3x Add '3' to each side of the equation. -3 + 3 + -4x = -3 + 3 + 3x Combine like terms: -3 + 3 = 0 0 + -4x = -3 + 3 + 3x -4x = -3 + 3 + 3x Combine like terms: -3 + 3 = 0 -4x = 0 + 3x -4x = 3x Solving -4x = 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. -4x + -3x = 3x + -3x Combine like terms: -4x + -3x = -7x -7x = 3x + -3x Combine like terms: 3x + -3x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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