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Simplifying 7 + -3x + 8 + -5x = 10 + 2x + -5 + 5x Reorder the terms: 7 + 8 + -3x + -5x = 10 + 2x + -5 + 5x Combine like terms: 7 + 8 = 15 15 + -3x + -5x = 10 + 2x + -5 + 5x Combine like terms: -3x + -5x = -8x 15 + -8x = 10 + 2x + -5 + 5x Reorder the terms: 15 + -8x = 10 + -5 + 2x + 5x Combine like terms: 10 + -5 = 5 15 + -8x = 5 + 2x + 5x Combine like terms: 2x + 5x = 7x 15 + -8x = 5 + 7x Solving 15 + -8x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -8x + -7x = 5 + 7x + -7x Combine like terms: -8x + -7x = -15x 15 + -15x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -15x = 5 + 0 15 + -15x = 5 Add '-15' to each side of the equation. 15 + -15 + -15x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = 5 + -15 -15x = 5 + -15 Combine like terms: 5 + -15 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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