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Simplifying (10x + 5) * 3 + 10x = -30x + 1 Reorder the terms: (5 + 10x) * 3 + 10x = -30x + 1 Reorder the terms for easier multiplication: 3(5 + 10x) + 10x = -30x + 1 (5 * 3 + 10x * 3) + 10x = -30x + 1 (15 + 30x) + 10x = -30x + 1 Combine like terms: 30x + 10x = 40x 15 + 40x = -30x + 1 Reorder the terms: 15 + 40x = 1 + -30x Solving 15 + 40x = 1 + -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. 15 + 40x + 30x = 1 + -30x + 30x Combine like terms: 40x + 30x = 70x 15 + 70x = 1 + -30x + 30x Combine like terms: -30x + 30x = 0 15 + 70x = 1 + 0 15 + 70x = 1 Add '-15' to each side of the equation. 15 + -15 + 70x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 70x = 1 + -15 70x = 1 + -15 Combine like terms: 1 + -15 = -14 70x = -14 Divide each side by '70'. x = -0.2 Simplifying x = -0.2
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