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Simplifying 5x + 3(-2x + 7) = 30 Reorder the terms: 5x + 3(7 + -2x) = 30 5x + (7 * 3 + -2x * 3) = 30 5x + (21 + -6x) = 30 Reorder the terms: 21 + 5x + -6x = 30 Combine like terms: 5x + -6x = -1x 21 + -1x = 30 Solving 21 + -1x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 30 + -21 -1x = 30 + -21 Combine like terms: 30 + -21 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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