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Simplifying 6(2x + -4) + 5 = 3(2x + 5) Reorder the terms: 6(-4 + 2x) + 5 = 3(2x + 5) (-4 * 6 + 2x * 6) + 5 = 3(2x + 5) (-24 + 12x) + 5 = 3(2x + 5) Reorder the terms: -24 + 5 + 12x = 3(2x + 5) Combine like terms: -24 + 5 = -19 -19 + 12x = 3(2x + 5) Reorder the terms: -19 + 12x = 3(5 + 2x) -19 + 12x = (5 * 3 + 2x * 3) -19 + 12x = (15 + 6x) Solving -19 + 12x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -19 + 12x + -6x = 15 + 6x + -6x Combine like terms: 12x + -6x = 6x -19 + 6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + 6x = 15 + 0 -19 + 6x = 15 Add '19' to each side of the equation. -19 + 19 + 6x = 15 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 15 + 19 6x = 15 + 19 Combine like terms: 15 + 19 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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