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Simplifying 2x + 3x + 45 = 4x + 7 + 15 Reorder the terms: 45 + 2x + 3x = 4x + 7 + 15 Combine like terms: 2x + 3x = 5x 45 + 5x = 4x + 7 + 15 Reorder the terms: 45 + 5x = 7 + 15 + 4x Combine like terms: 7 + 15 = 22 45 + 5x = 22 + 4x Solving 45 + 5x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x 45 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 1x = 22 + 0 45 + 1x = 22 Add '-45' to each side of the equation. 45 + -45 + 1x = 22 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 22 + -45 1x = 22 + -45 Combine like terms: 22 + -45 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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