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Simplifying 5x + 2x + 8x + -84 + 3x + 25 = 175 + -3x + 2x + -60 + 5x Reorder the terms: -84 + 25 + 5x + 2x + 8x + 3x = 175 + -3x + 2x + -60 + 5x Combine like terms: -84 + 25 = -59 -59 + 5x + 2x + 8x + 3x = 175 + -3x + 2x + -60 + 5x Combine like terms: 5x + 2x = 7x -59 + 7x + 8x + 3x = 175 + -3x + 2x + -60 + 5x Combine like terms: 7x + 8x = 15x -59 + 15x + 3x = 175 + -3x + 2x + -60 + 5x Combine like terms: 15x + 3x = 18x -59 + 18x = 175 + -3x + 2x + -60 + 5x Reorder the terms: -59 + 18x = 175 + -60 + -3x + 2x + 5x Combine like terms: 175 + -60 = 115 -59 + 18x = 115 + -3x + 2x + 5x Combine like terms: -3x + 2x = -1x -59 + 18x = 115 + -1x + 5x Combine like terms: -1x + 5x = 4x -59 + 18x = 115 + 4x Solving -59 + 18x = 115 + 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. -59 + 18x + -4x = 115 + 4x + -4x Combine like terms: 18x + -4x = 14x -59 + 14x = 115 + 4x + -4x Combine like terms: 4x + -4x = 0 -59 + 14x = 115 + 0 -59 + 14x = 115 Add '59' to each side of the equation. -59 + 59 + 14x = 115 + 59 Combine like terms: -59 + 59 = 0 0 + 14x = 115 + 59 14x = 115 + 59 Combine like terms: 115 + 59 = 174 14x = 174 Divide each side by '14'. x = 12.42857143 Simplifying x = 12.42857143
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