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Simplifying -5x + 30 = 3(5x + 3) + 1 Reorder the terms: 30 + -5x = 3(5x + 3) + 1 Reorder the terms: 30 + -5x = 3(3 + 5x) + 1 30 + -5x = (3 * 3 + 5x * 3) + 1 30 + -5x = (9 + 15x) + 1 Reorder the terms: 30 + -5x = 9 + 1 + 15x Combine like terms: 9 + 1 = 10 30 + -5x = 10 + 15x Solving 30 + -5x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + -5x + -15x = 10 + 15x + -15x Combine like terms: -5x + -15x = -20x 30 + -20x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -20x = 10 + 0 30 + -20x = 10 Add '-30' to each side of the equation. 30 + -30 + -20x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = 10 + -30 -20x = 10 + -30 Combine like terms: 10 + -30 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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