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Simplifying 3x + 7x + 1 = 2(5x + 1) * 2 Reorder the terms: 1 + 3x + 7x = 2(5x + 1) * 2 Combine like terms: 3x + 7x = 10x 1 + 10x = 2(5x + 1) * 2 Reorder the terms: 1 + 10x = 2(1 + 5x) * 2 Reorder the terms for easier multiplication: 1 + 10x = 2 * 2(1 + 5x) Multiply 2 * 2 1 + 10x = 4(1 + 5x) 1 + 10x = (1 * 4 + 5x * 4) 1 + 10x = (4 + 20x) Solving 1 + 10x = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1 + 10x + -20x = 4 + 20x + -20x Combine like terms: 10x + -20x = -10x 1 + -10x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -10x = 4 + 0 1 + -10x = 4 Add '-1' to each side of the equation. 1 + -1 + -10x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 4 + -1 -10x = 4 + -1 Combine like terms: 4 + -1 = 3 -10x = 3 Divide each side by '-10'. x = -0.3 Simplifying x = -0.3
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