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Simplifying 4(10x + 1) = 3x + -2 Reorder the terms: 4(1 + 10x) = 3x + -2 (1 * 4 + 10x * 4) = 3x + -2 (4 + 40x) = 3x + -2 Reorder the terms: 4 + 40x = -2 + 3x Solving 4 + 40x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 40x + -3x = -2 + 3x + -3x Combine like terms: 40x + -3x = 37x 4 + 37x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 37x = -2 + 0 4 + 37x = -2 Add '-4' to each side of the equation. 4 + -4 + 37x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 37x = -2 + -4 37x = -2 + -4 Combine like terms: -2 + -4 = -6 37x = -6 Divide each side by '37'. x = -0.1621621622 Simplifying x = -0.1621621622
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