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Simplifying 3x + 30 = 2(5x + 1) Reorder the terms: 30 + 3x = 2(5x + 1) Reorder the terms: 30 + 3x = 2(1 + 5x) 30 + 3x = (1 * 2 + 5x * 2) 30 + 3x = (2 + 10x) Solving 30 + 3x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + 3x + -10x = 2 + 10x + -10x Combine like terms: 3x + -10x = -7x 30 + -7x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -7x = 2 + 0 30 + -7x = 2 Add '-30' to each side of the equation. 30 + -30 + -7x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 2 + -30 -7x = 2 + -30 Combine like terms: 2 + -30 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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