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Simplifying 2 + 3x + 45 = 4x + 7x + 15 Reorder the terms: 2 + 45 + 3x = 4x + 7x + 15 Combine like terms: 2 + 45 = 47 47 + 3x = 4x + 7x + 15 Reorder the terms: 47 + 3x = 15 + 4x + 7x Combine like terms: 4x + 7x = 11x 47 + 3x = 15 + 11x Solving 47 + 3x = 15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 47 + 3x + -11x = 15 + 11x + -11x Combine like terms: 3x + -11x = -8x 47 + -8x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 47 + -8x = 15 + 0 47 + -8x = 15 Add '-47' to each side of the equation. 47 + -47 + -8x = 15 + -47 Combine like terms: 47 + -47 = 0 0 + -8x = 15 + -47 -8x = 15 + -47 Combine like terms: 15 + -47 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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