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Simplifying 4x + 32 + 13 = 6x + 54 + -1x Reorder the terms: 32 + 13 + 4x = 6x + 54 + -1x Combine like terms: 32 + 13 = 45 45 + 4x = 6x + 54 + -1x Reorder the terms: 45 + 4x = 54 + 6x + -1x Combine like terms: 6x + -1x = 5x 45 + 4x = 54 + 5x Solving 45 + 4x = 54 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 4x + -5x = 54 + 5x + -5x Combine like terms: 4x + -5x = -1x 45 + -1x = 54 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -1x = 54 + 0 45 + -1x = 54 Add '-45' to each side of the equation. 45 + -45 + -1x = 54 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 54 + -45 -1x = 54 + -45 Combine like terms: 54 + -45 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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