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Simplifying 6(2x + 7) = 5(4 + -3x) Reorder the terms: 6(7 + 2x) = 5(4 + -3x) (7 * 6 + 2x * 6) = 5(4 + -3x) (42 + 12x) = 5(4 + -3x) 42 + 12x = (4 * 5 + -3x * 5) 42 + 12x = (20 + -15x) Solving 42 + 12x = 20 + -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 = 20 + -15x + 15x Combine like terms: 12x + 15x = 27x 42 + 27x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 42 + 27x = 20 + 0 42 + 27x = 20 Add '-42' to each side of the equation. 42 + -42 + 27x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + 27x = 20 + -42 27x = 20 + -42 Combine like terms: 20 + -42 = -22 27x = -22 Divide each side by '27'. x = -0.8148148148 Simplifying x = -0.8148148148
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