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Simplifying 30 + x + -2 = 6x + -7 Reorder the terms: 30 + -2 + x = 6x + -7 Combine like terms: 30 + -2 = 28 28 + x = 6x + -7 Reorder the terms: 28 + x = -7 + 6x Solving 28 + x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + x + -6x = -7 + 6x + -6x Combine like terms: x + -6x = -5x 28 + -5x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -5x = -7 + 0 28 + -5x = -7 Add '-28' to each side of the equation. 28 + -28 + -5x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = -7 + -28 -5x = -7 + -28 Combine like terms: -7 + -28 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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