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Simplifying 3(2 + -5x) = 3(4x + 1) (2 * 3 + -5x * 3) = 3(4x + 1) (6 + -15x) = 3(4x + 1) Reorder the terms: 6 + -15x = 3(1 + 4x) 6 + -15x = (1 * 3 + 4x * 3) 6 + -15x = (3 + 12x) Solving 6 + -15x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + -15x + -12x = 3 + 12x + -12x Combine like terms: -15x + -12x = -27x 6 + -27x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -27x = 3 + 0 6 + -27x = 3 Add '-6' to each side of the equation. 6 + -6 + -27x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -27x = 3 + -6 -27x = 3 + -6 Combine like terms: 3 + -6 = -3 -27x = -3 Divide each side by '-27'. x = 0.1111111111 Simplifying x = 0.1111111111
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