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Simplifying 2x + 3 + 45 = 4x + 7x + 15 Reorder the terms: 3 + 45 + 2x = 4x + 7x + 15 Combine like terms: 3 + 45 = 48 48 + 2x = 4x + 7x + 15 Reorder the terms: 48 + 2x = 15 + 4x + 7x Combine like terms: 4x + 7x = 11x 48 + 2x = 15 + 11x Solving 48 + 2x = 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. 48 + 2x + -11x = 15 + 11x + -11x Combine like terms: 2x + -11x = -9x 48 + -9x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 48 + -9x = 15 + 0 48 + -9x = 15 Add '-48' to each side of the equation. 48 + -48 + -9x = 15 + -48 Combine like terms: 48 + -48 = 0 0 + -9x = 15 + -48 -9x = 15 + -48 Combine like terms: 15 + -48 = -33 -9x = -33 Divide each side by '-9'. x = 3.666666667 Simplifying x = 3.666666667
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