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Simplifying 6(7 + -2x) = 3(5x + 1) (7 * 6 + -2x * 6) = 3(5x + 1) (42 + -12x) = 3(5x + 1) Reorder the terms: 42 + -12x = 3(1 + 5x) 42 + -12x = (1 * 3 + 5x * 3) 42 + -12x = (3 + 15x) Solving 42 + -12x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 42 + -12x + -15x = 3 + 15x + -15x Combine like terms: -12x + -15x = -27x 42 + -27x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 42 + -27x = 3 + 0 42 + -27x = 3 Add '-42' to each side of the equation. 42 + -42 + -27x = 3 + -42 Combine like terms: 42 + -42 = 0 0 + -27x = 3 + -42 -27x = 3 + -42 Combine like terms: 3 + -42 = -39 -27x = -39 Divide each side by '-27'. x = 1.444444444 Simplifying x = 1.444444444
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