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