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Simplifying 4(10x + 1) = -3x + -5 Reorder the terms: 4(1 + 10x) = -3x + -5 (1 * 4 + 10x * 4) = -3x + -5 (4 + 40x) = -3x + -5 Reorder the terms: 4 + 40x = -5 + -3x Solving 4 + 40x = -5 + -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 = -5 + -3x + 3x Combine like terms: 40x + 3x = 43x 4 + 43x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 43x = -5 + 0 4 + 43x = -5 Add '-4' to each side of the equation. 4 + -4 + 43x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 43x = -5 + -4 43x = -5 + -4 Combine like terms: -5 + -4 = -9 43x = -9 Divide each side by '43'. x = -0.2093023256 Simplifying x = -0.2093023256
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