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Simplifying 2(2x + -3) = -3(2x + 1) + -1 Reorder the terms: 2(-3 + 2x) = -3(2x + 1) + -1 (-3 * 2 + 2x * 2) = -3(2x + 1) + -1 (-6 + 4x) = -3(2x + 1) + -1 Reorder the terms: -6 + 4x = -3(1 + 2x) + -1 -6 + 4x = (1 * -3 + 2x * -3) + -1 -6 + 4x = (-3 + -6x) + -1 Reorder the terms: -6 + 4x = -3 + -1 + -6x Combine like terms: -3 + -1 = -4 -6 + 4x = -4 + -6x Solving -6 + 4x = -4 + -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. -6 + 4x + 6x = -4 + -6x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 10x = -4 + 0 -6 + 10x = -4 Add '6' to each side of the equation. -6 + 6 + 10x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -4 + 6 10x = -4 + 6 Combine like terms: -4 + 6 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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