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Simplifying 100(7x + 1) = 10(3x + -2) Reorder the terms: 100(1 + 7x) = 10(3x + -2) (1 * 100 + 7x * 100) = 10(3x + -2) (100 + 700x) = 10(3x + -2) Reorder the terms: 100 + 700x = 10(-2 + 3x) 100 + 700x = (-2 * 10 + 3x * 10) 100 + 700x = (-20 + 30x) Solving 100 + 700x = -20 + 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. 100 + 700x + -30x = -20 + 30x + -30x Combine like terms: 700x + -30x = 670x 100 + 670x = -20 + 30x + -30x Combine like terms: 30x + -30x = 0 100 + 670x = -20 + 0 100 + 670x = -20 Add '-100' to each side of the equation. 100 + -100 + 670x = -20 + -100 Combine like terms: 100 + -100 = 0 0 + 670x = -20 + -100 670x = -20 + -100 Combine like terms: -20 + -100 = -120 670x = -120 Divide each side by '670'. x = -0.1791044776 Simplifying x = -0.1791044776
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