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Simplifying 15x + -24 + 2x + -6 = -5x + 10 Reorder the terms: -24 + -6 + 15x + 2x = -5x + 10 Combine like terms: -24 + -6 = -30 -30 + 15x + 2x = -5x + 10 Combine like terms: 15x + 2x = 17x -30 + 17x = -5x + 10 Reorder the terms: -30 + 17x = 10 + -5x Solving -30 + 17x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 17x + 5x = 10 + -5x + 5x Combine like terms: 17x + 5x = 22x -30 + 22x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 22x = 10 + 0 -30 + 22x = 10 Add '30' to each side of the equation. -30 + 30 + 22x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 22x = 10 + 30 22x = 10 + 30 Combine like terms: 10 + 30 = 40 22x = 40 Divide each side by '22'. x = 1.818181818 Simplifying x = 1.818181818
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