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Simplifying 4(6x + -5) = 6(3)(x + 2) Reorder the terms: 4(-5 + 6x) = 6(3)(x + 2) (-5 * 4 + 6x * 4) = 6(3)(x + 2) (-20 + 24x) = 6(3)(x + 2) Reorder the terms: -20 + 24x = 6 * 3(2 + x) Multiply 6 * 3 -20 + 24x = 18(2 + x) -20 + 24x = (2 * 18 + x * 18) -20 + 24x = (36 + 18x) Solving -20 + 24x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 24x + -18x = 36 + 18x + -18x Combine like terms: 24x + -18x = 6x -20 + 6x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + 6x = 36 + 0 -20 + 6x = 36 Add '20' to each side of the equation. -20 + 20 + 6x = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 36 + 20 6x = 36 + 20 Combine like terms: 36 + 20 = 56 6x = 56 Divide each side by '6'. x = 9.333333333 Simplifying x = 9.333333333
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