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Simplifying 2x + 5 + (3x + -10) = 4x + 3 + (5x + 20) Reorder the terms: 2x + 5 + (-10 + 3x) = 4x + 3 + (5x + 20) Remove parenthesis around (-10 + 3x) 2x + 5 + -10 + 3x = 4x + 3 + (5x + 20) Reorder the terms: 5 + -10 + 2x + 3x = 4x + 3 + (5x + 20) Combine like terms: 5 + -10 = -5 -5 + 2x + 3x = 4x + 3 + (5x + 20) Combine like terms: 2x + 3x = 5x -5 + 5x = 4x + 3 + (5x + 20) Reorder the terms: -5 + 5x = 4x + 3 + (20 + 5x) Remove parenthesis around (20 + 5x) -5 + 5x = 4x + 3 + 20 + 5x Reorder the terms: -5 + 5x = 3 + 20 + 4x + 5x Combine like terms: 3 + 20 = 23 -5 + 5x = 23 + 4x + 5x Combine like terms: 4x + 5x = 9x -5 + 5x = 23 + 9x Solving -5 + 5x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 5x + -9x = 23 + 9x + -9x Combine like terms: 5x + -9x = -4x -5 + -4x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -4x = 23 + 0 -5 + -4x = 23 Add '5' to each side of the equation. -5 + 5 + -4x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 23 + 5 -4x = 23 + 5 Combine like terms: 23 + 5 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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