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Simplifying x + 45 = 3x + 13 Reorder the terms: 45 + x = 3x + 13 Reorder the terms: 45 + x = 13 + 3x Solving 45 + x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + x + -3x = 13 + 3x + -3x Combine like terms: x + -3x = -2x 45 + -2x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -2x = 13 + 0 45 + -2x = 13 Add '-45' to each side of the equation. 45 + -45 + -2x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 13 + -45 -2x = 13 + -45 Combine like terms: 13 + -45 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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