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Simplifying 4x + -45 = 5x + 47 + x Reorder the terms: -45 + 4x = 5x + 47 + x Reorder the terms: -45 + 4x = 47 + 5x + x Combine like terms: 5x + x = 6x -45 + 4x = 47 + 6x Solving -45 + 4x = 47 + 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. -45 + 4x + -6x = 47 + 6x + -6x Combine like terms: 4x + -6x = -2x -45 + -2x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -2x = 47 + 0 -45 + -2x = 47 Add '45' to each side of the equation. -45 + 45 + -2x = 47 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = 47 + 45 -2x = 47 + 45 Combine like terms: 47 + 45 = 92 -2x = 92 Divide each side by '-2'. x = -46 Simplifying x = -46
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