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Simplifying 2x + -5x + -2 = -3 + 4x + -43 Reorder the terms: -2 + 2x + -5x = -3 + 4x + -43 Combine like terms: 2x + -5x = -3x -2 + -3x = -3 + 4x + -43 Reorder the terms: -2 + -3x = -3 + -43 + 4x Combine like terms: -3 + -43 = -46 -2 + -3x = -46 + 4x Solving -2 + -3x = -46 + 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. -2 + -3x + -4x = -46 + 4x + -4x Combine like terms: -3x + -4x = -7x -2 + -7x = -46 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -7x = -46 + 0 -2 + -7x = -46 Add '2' to each side of the equation. -2 + 2 + -7x = -46 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -46 + 2 -7x = -46 + 2 Combine like terms: -46 + 2 = -44 -7x = -44 Divide each side by '-7'. x = 6.285714286 Simplifying x = 6.285714286
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