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Simplifying 2x + -7 + -5x + -3 = 4x + 5 + 2x + 3 Reorder the terms: -7 + -3 + 2x + -5x = 4x + 5 + 2x + 3 Combine like terms: -7 + -3 = -10 -10 + 2x + -5x = 4x + 5 + 2x + 3 Combine like terms: 2x + -5x = -3x -10 + -3x = 4x + 5 + 2x + 3 Reorder the terms: -10 + -3x = 5 + 3 + 4x + 2x Combine like terms: 5 + 3 = 8 -10 + -3x = 8 + 4x + 2x Combine like terms: 4x + 2x = 6x -10 + -3x = 8 + 6x Solving -10 + -3x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -3x + -6x = 8 + 6x + -6x Combine like terms: -3x + -6x = -9x -10 + -9x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -9x = 8 + 0 -10 + -9x = 8 Add '10' to each side of the equation. -10 + 10 + -9x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 8 + 10 -9x = 8 + 10 Combine like terms: 8 + 10 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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