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Simplifying 6(2x + 7) = 3(5 + -4x) Reorder the terms: 6(7 + 2x) = 3(5 + -4x) (7 * 6 + 2x * 6) = 3(5 + -4x) (42 + 12x) = 3(5 + -4x) 42 + 12x = (5 * 3 + -4x * 3) 42 + 12x = (15 + -12x) Solving 42 + 12x = 15 + -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. 42 + 12x + 12x = 15 + -12x + 12x Combine like terms: 12x + 12x = 24x 42 + 24x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 42 + 24x = 15 + 0 42 + 24x = 15 Add '-42' to each side of the equation. 42 + -42 + 24x = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = 15 + -42 24x = 15 + -42 Combine like terms: 15 + -42 = -27 24x = -27 Divide each side by '24'. x = -1.125 Simplifying x = -1.125
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