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Simplifying 45 = 4x + 3 + 4x + 2 Reorder the terms: 45 = 3 + 2 + 4x + 4x Combine like terms: 3 + 2 = 5 45 = 5 + 4x + 4x Combine like terms: 4x + 4x = 8x 45 = 5 + 8x Solving 45 = 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 + -8x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -8x = 5 + 0 45 + -8x = 5 Add '-45' to each side of the equation. 45 + -45 + -8x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = 5 + -45 -8x = 5 + -45 Combine like terms: 5 + -45 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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