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Simplifying 7 + -5x + 10 = 3x + 8 Reorder the terms: 7 + 10 + -5x = 3x + 8 Combine like terms: 7 + 10 = 17 17 + -5x = 3x + 8 Reorder the terms: 17 + -5x = 8 + 3x Solving 17 + -5x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + -5x + -3x = 8 + 3x + -3x Combine like terms: -5x + -3x = -8x 17 + -8x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -8x = 8 + 0 17 + -8x = 8 Add '-17' to each side of the equation. 17 + -17 + -8x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 8 + -17 -8x = 8 + -17 Combine like terms: 8 + -17 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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