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Simplifying 2x + 6 = 5x + 45 Reorder the terms: 6 + 2x = 5x + 45 Reorder the terms: 6 + 2x = 45 + 5x Solving 6 + 2x = 45 + 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. 6 + 2x + -5x = 45 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = 45 + 0 6 + -3x = 45 Add '-6' to each side of the equation. 6 + -6 + -3x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 45 + -6 -3x = 45 + -6 Combine like terms: 45 + -6 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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