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Simplifying 15x + 2 + -1x + 52 = 2x + 7 + 3x + 74 Reorder the terms: 2 + 52 + 15x + -1x = 2x + 7 + 3x + 74 Combine like terms: 2 + 52 = 54 54 + 15x + -1x = 2x + 7 + 3x + 74 Combine like terms: 15x + -1x = 14x 54 + 14x = 2x + 7 + 3x + 74 Reorder the terms: 54 + 14x = 7 + 74 + 2x + 3x Combine like terms: 7 + 74 = 81 54 + 14x = 81 + 2x + 3x Combine like terms: 2x + 3x = 5x 54 + 14x = 81 + 5x Solving 54 + 14x = 81 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 14x + -5x = 81 + 5x + -5x Combine like terms: 14x + -5x = 9x 54 + 9x = 81 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 9x = 81 + 0 54 + 9x = 81 Add '-54' to each side of the equation. 54 + -54 + 9x = 81 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = 81 + -54 9x = 81 + -54 Combine like terms: 81 + -54 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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