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Simplifying 2x + -5 = 9 + -2(5x + -4) Reorder the terms: -5 + 2x = 9 + -2(5x + -4) Reorder the terms: -5 + 2x = 9 + -2(-4 + 5x) -5 + 2x = 9 + (-4 * -2 + 5x * -2) -5 + 2x = 9 + (8 + -10x) Combine like terms: 9 + 8 = 17 -5 + 2x = 17 + -10x Solving -5 + 2x = 17 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -5 + 2x + 10x = 17 + -10x + 10x Combine like terms: 2x + 10x = 12x -5 + 12x = 17 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 12x = 17 + 0 -5 + 12x = 17 Add '5' to each side of the equation. -5 + 5 + 12x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 17 + 5 12x = 17 + 5 Combine like terms: 17 + 5 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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