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Simplifying 5x + -30 = 5(7x + -6) + x Reorder the terms: -30 + 5x = 5(7x + -6) + x Reorder the terms: -30 + 5x = 5(-6 + 7x) + x -30 + 5x = (-6 * 5 + 7x * 5) + x -30 + 5x = (-30 + 35x) + x Combine like terms: 35x + x = 36x -30 + 5x = -30 + 36x Add '30' to each side of the equation. -30 + 30 + 5x = -30 + 30 + 36x Combine like terms: -30 + 30 = 0 0 + 5x = -30 + 30 + 36x 5x = -30 + 30 + 36x Combine like terms: -30 + 30 = 0 5x = 0 + 36x 5x = 36x Solving 5x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 5x + -36x = 36x + -36x Combine like terms: 5x + -36x = -31x -31x = 36x + -36x Combine like terms: 36x + -36x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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