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Simplifying 6(3 + -5x) = 7 + -1(1 + -2x) (3 * 6 + -5x * 6) = 7 + -1(1 + -2x) (18 + -30x) = 7 + -1(1 + -2x) 18 + -30x = 7 + (1 * -1 + -2x * -1) 18 + -30x = 7 + (-1 + 2x) Combine like terms: 7 + -1 = 6 18 + -30x = 6 + 2x Solving 18 + -30x = 6 + 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. 18 + -30x + -2x = 6 + 2x + -2x Combine like terms: -30x + -2x = -32x 18 + -32x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -32x = 6 + 0 18 + -32x = 6 Add '-18' to each side of the equation. 18 + -18 + -32x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -32x = 6 + -18 -32x = 6 + -18 Combine like terms: 6 + -18 = -12 -32x = -12 Divide each side by '-32'. x = 0.375 Simplifying x = 0.375
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