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Simplifying 2x + -5 = 15 + -2(x + 2) + -3x Reorder the terms: -5 + 2x = 15 + -2(x + 2) + -3x Reorder the terms: -5 + 2x = 15 + -2(2 + x) + -3x -5 + 2x = 15 + (2 * -2 + x * -2) + -3x -5 + 2x = 15 + (-4 + -2x) + -3x Combine like terms: 15 + -4 = 11 -5 + 2x = 11 + -2x + -3x Combine like terms: -2x + -3x = -5x -5 + 2x = 11 + -5x Solving -5 + 2x = 11 + -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. -5 + 2x + 5x = 11 + -5x + 5x Combine like terms: 2x + 5x = 7x -5 + 7x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 7x = 11 + 0 -5 + 7x = 11 Add '5' to each side of the equation. -5 + 5 + 7x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 11 + 5 7x = 11 + 5 Combine like terms: 11 + 5 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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