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Simplifying x + x + x + 74 = x + x + x + x + x + x + x + x + -11 Reorder the terms: 74 + x + x + x = x + x + x + x + x + x + x + x + -11 Combine like terms: x + x = 2x 74 + 2x + x = x + x + x + x + x + x + x + x + -11 Combine like terms: 2x + x = 3x 74 + 3x = x + x + x + x + x + x + x + x + -11 Reorder the terms: 74 + 3x = -11 + x + x + x + x + x + x + x + x Combine like terms: x + x = 2x 74 + 3x = -11 + 2x + x + x + x + x + x + x Combine like terms: 2x + x = 3x 74 + 3x = -11 + 3x + x + x + x + x + x Combine like terms: 3x + x = 4x 74 + 3x = -11 + 4x + x + x + x + x Combine like terms: 4x + x = 5x 74 + 3x = -11 + 5x + x + x + x Combine like terms: 5x + x = 6x 74 + 3x = -11 + 6x + x + x Combine like terms: 6x + x = 7x 74 + 3x = -11 + 7x + x Combine like terms: 7x + x = 8x 74 + 3x = -11 + 8x Solving 74 + 3x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 74 + 3x + -8x = -11 + 8x + -8x Combine like terms: 3x + -8x = -5x 74 + -5x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 74 + -5x = -11 + 0 74 + -5x = -11 Add '-74' to each side of the equation. 74 + -74 + -5x = -11 + -74 Combine like terms: 74 + -74 = 0 0 + -5x = -11 + -74 -5x = -11 + -74 Combine like terms: -11 + -74 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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