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Simplifying 2x + 45 = 6x + 14 Reorder the terms: 45 + 2x = 6x + 14 Reorder the terms: 45 + 2x = 14 + 6x Solving 45 + 2x = 14 + 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 + 2x + -6x = 14 + 6x + -6x Combine like terms: 2x + -6x = -4x 45 + -4x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -4x = 14 + 0 45 + -4x = 14 Add '-45' to each side of the equation. 45 + -45 + -4x = 14 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 14 + -45 -4x = 14 + -45 Combine like terms: 14 + -45 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75
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