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Simplifying 2x + -3(2x + 2) = 1 + -5(4x + 3) Reorder the terms: 2x + -3(2 + 2x) = 1 + -5(4x + 3) 2x + (2 * -3 + 2x * -3) = 1 + -5(4x + 3) 2x + (-6 + -6x) = 1 + -5(4x + 3) Reorder the terms: -6 + 2x + -6x = 1 + -5(4x + 3) Combine like terms: 2x + -6x = -4x -6 + -4x = 1 + -5(4x + 3) Reorder the terms: -6 + -4x = 1 + -5(3 + 4x) -6 + -4x = 1 + (3 * -5 + 4x * -5) -6 + -4x = 1 + (-15 + -20x) Combine like terms: 1 + -15 = -14 -6 + -4x = -14 + -20x Solving -6 + -4x = -14 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -6 + -4x + 20x = -14 + -20x + 20x Combine like terms: -4x + 20x = 16x -6 + 16x = -14 + -20x + 20x Combine like terms: -20x + 20x = 0 -6 + 16x = -14 + 0 -6 + 16x = -14 Add '6' to each side of the equation. -6 + 6 + 16x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -14 + 6 16x = -14 + 6 Combine like terms: -14 + 6 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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