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Simplifying 5 + 2(x + -3) = 10 + -3(x + -5) Reorder the terms: 5 + 2(-3 + x) = 10 + -3(x + -5) 5 + (-3 * 2 + x * 2) = 10 + -3(x + -5) 5 + (-6 + 2x) = 10 + -3(x + -5) Combine like terms: 5 + -6 = -1 -1 + 2x = 10 + -3(x + -5) Reorder the terms: -1 + 2x = 10 + -3(-5 + x) -1 + 2x = 10 + (-5 * -3 + x * -3) -1 + 2x = 10 + (15 + -3x) Combine like terms: 10 + 15 = 25 -1 + 2x = 25 + -3x Solving -1 + 2x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 2x + 3x = 25 + -3x + 3x Combine like terms: 2x + 3x = 5x -1 + 5x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 5x = 25 + 0 -1 + 5x = 25 Add '1' to each side of the equation. -1 + 1 + 5x = 25 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 25 + 1 5x = 25 + 1 Combine like terms: 25 + 1 = 26 5x = 26 Divide each side by '5'. x = 5.2 Simplifying x = 5.2
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