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Simplifying 3x + -1x + -5 = 4x + 2 + -9 Reorder the terms: -5 + 3x + -1x = 4x + 2 + -9 Combine like terms: 3x + -1x = 2x -5 + 2x = 4x + 2 + -9 Reorder the terms: -5 + 2x = 2 + -9 + 4x Combine like terms: 2 + -9 = -7 -5 + 2x = -7 + 4x Solving -5 + 2x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = -7 + 0 -5 + -2x = -7 Add '5' to each side of the equation. -5 + 5 + -2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -7 + 5 -2x = -7 + 5 Combine like terms: -7 + 5 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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