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Simplifying 2(3x + -1) = 8 + -2(4x + 5) Reorder the terms: 2(-1 + 3x) = 8 + -2(4x + 5) (-1 * 2 + 3x * 2) = 8 + -2(4x + 5) (-2 + 6x) = 8 + -2(4x + 5) Reorder the terms: -2 + 6x = 8 + -2(5 + 4x) -2 + 6x = 8 + (5 * -2 + 4x * -2) -2 + 6x = 8 + (-10 + -8x) Combine like terms: 8 + -10 = -2 -2 + 6x = -2 + -8x Add '2' to each side of the equation. -2 + 2 + 6x = -2 + 2 + -8x Combine like terms: -2 + 2 = 0 0 + 6x = -2 + 2 + -8x 6x = -2 + 2 + -8x Combine like terms: -2 + 2 = 0 6x = 0 + -8x 6x = -8x Solving 6x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6x + 8x = -8x + 8x Combine like terms: 6x + 8x = 14x 14x = -8x + 8x Combine like terms: -8x + 8x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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