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Simplifying 5x + -9 + 3x + 17 = 10x + -6 Reorder the terms: -9 + 17 + 5x + 3x = 10x + -6 Combine like terms: -9 + 17 = 8 8 + 5x + 3x = 10x + -6 Combine like terms: 5x + 3x = 8x 8 + 8x = 10x + -6 Reorder the terms: 8 + 8x = -6 + 10x Solving 8 + 8x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 8x + -10x = -6 + 10x + -10x Combine like terms: 8x + -10x = -2x 8 + -2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -2x = -6 + 0 8 + -2x = -6 Add '-8' to each side of the equation. 8 + -8 + -2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -6 + -8 -2x = -6 + -8 Combine like terms: -6 + -8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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