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Simplifying 45 + -4x = 3x + 5x + 5 Reorder the terms: 45 + -4x = 5 + 3x + 5x Combine like terms: 3x + 5x = 8x 45 + -4x = 5 + 8x Solving 45 + -4x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + -4x + -8x = 5 + 8x + -8x Combine like terms: -4x + -8x = -12x 45 + -12x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -12x = 5 + 0 45 + -12x = 5 Add '-45' to each side of the equation. 45 + -45 + -12x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 5 + -45 -12x = 5 + -45 Combine like terms: 5 + -45 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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