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Simplifying 10x + 9 + -8x = 7x + 6x + -5 + 4x + -2 Reorder the terms: 9 + 10x + -8x = 7x + 6x + -5 + 4x + -2 Combine like terms: 10x + -8x = 2x 9 + 2x = 7x + 6x + -5 + 4x + -2 Reorder the terms: 9 + 2x = -5 + -2 + 7x + 6x + 4x Combine like terms: -5 + -2 = -7 9 + 2x = -7 + 7x + 6x + 4x Combine like terms: 7x + 6x = 13x 9 + 2x = -7 + 13x + 4x Combine like terms: 13x + 4x = 17x 9 + 2x = -7 + 17x Solving 9 + 2x = -7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 9 + 2x + -17x = -7 + 17x + -17x Combine like terms: 2x + -17x = -15x 9 + -15x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 9 + -15x = -7 + 0 9 + -15x = -7 Add '-9' to each side of the equation. 9 + -9 + -15x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -15x = -7 + -9 -15x = -7 + -9 Combine like terms: -7 + -9 = -16 -15x = -16 Divide each side by '-15'. x = 1.066666667 Simplifying x = 1.066666667
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