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Simplifying 2x(1 + 4) = 5x(7 + -1) Combine like terms: 1 + 4 = 5 2x(5) = 5x(7 + -1) Reorder the terms for easier multiplication: 2 * 5x = 5x(7 + -1) Multiply 2 * 5 10x = 5x(7 + -1) Combine like terms: 7 + -1 = 6 10x = 5x(6) Reorder the terms for easier multiplication: 10x = 5 * 6x Multiply 5 * 6 10x = 30x Solving 10x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10x + -30x = 30x + -30x Combine like terms: 10x + -30x = -20x -20x = 30x + -30x Combine like terms: 30x + -30x = 0 -20x = 0 Divide each side by '-20'. x = 0 Simplifying x = 0
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