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Simplifying 6(1 + -5x) = 4 + -2(2 + -1x) (1 * 6 + -5x * 6) = 4 + -2(2 + -1x) (6 + -30x) = 4 + -2(2 + -1x) 6 + -30x = 4 + (2 * -2 + -1x * -2) 6 + -30x = 4 + (-4 + 2x) Combine like terms: 4 + -4 = 0 6 + -30x = 0 + 2x 6 + -30x = 2x Solving 6 + -30x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -30x + -2x = 2x + -2x Combine like terms: -30x + -2x = -32x 6 + -32x = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -32x = 0 Add '-6' to each side of the equation. 6 + -6 + -32x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -32x = 0 + -6 -32x = 0 + -6 Combine like terms: 0 + -6 = -6 -32x = -6 Divide each side by '-32'. x = 0.1875 Simplifying x = 0.1875
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