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Simplifying 6x + -30 = -6(-7 + 5x) Reorder the terms: -30 + 6x = -6(-7 + 5x) -30 + 6x = (-7 * -6 + 5x * -6) -30 + 6x = (42 + -30x) Solving -30 + 6x = 42 + -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. -30 + 6x + 30x = 42 + -30x + 30x Combine like terms: 6x + 30x = 36x -30 + 36x = 42 + -30x + 30x Combine like terms: -30x + 30x = 0 -30 + 36x = 42 + 0 -30 + 36x = 42 Add '30' to each side of the equation. -30 + 30 + 36x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 36x = 42 + 30 36x = 42 + 30 Combine like terms: 42 + 30 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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