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Simplifying 2x + 4(5x + -6) = 3 + 2(x + 5) Reorder the terms: 2x + 4(-6 + 5x) = 3 + 2(x + 5) 2x + (-6 * 4 + 5x * 4) = 3 + 2(x + 5) 2x + (-24 + 20x) = 3 + 2(x + 5) Reorder the terms: -24 + 2x + 20x = 3 + 2(x + 5) Combine like terms: 2x + 20x = 22x -24 + 22x = 3 + 2(x + 5) Reorder the terms: -24 + 22x = 3 + 2(5 + x) -24 + 22x = 3 + (5 * 2 + x * 2) -24 + 22x = 3 + (10 + 2x) Combine like terms: 3 + 10 = 13 -24 + 22x = 13 + 2x Solving -24 + 22x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 22x + -2x = 13 + 2x + -2x Combine like terms: 22x + -2x = 20x -24 + 20x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 20x = 13 + 0 -24 + 20x = 13 Add '24' to each side of the equation. -24 + 24 + 20x = 13 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 13 + 24 20x = 13 + 24 Combine like terms: 13 + 24 = 37 20x = 37 Divide each side by '20'. x = 1.85 Simplifying x = 1.85
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