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Simplifying 2(2x + 1) = 2(-3x + 1) Reorder the terms: 2(1 + 2x) = 2(-3x + 1) (1 * 2 + 2x * 2) = 2(-3x + 1) (2 + 4x) = 2(-3x + 1) Reorder the terms: 2 + 4x = 2(1 + -3x) 2 + 4x = (1 * 2 + -3x * 2) 2 + 4x = (2 + -6x) Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + -6x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + -6x 4x = 2 + -2 + -6x Combine like terms: 2 + -2 = 0 4x = 0 + -6x 4x = -6x Solving 4x = -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. 4x + 6x = -6x + 6x Combine like terms: 4x + 6x = 10x 10x = -6x + 6x Combine like terms: -6x + 6x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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