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Simplifying 10x + 17 = 8(x + 6) + -13 Reorder the terms: 17 + 10x = 8(x + 6) + -13 Reorder the terms: 17 + 10x = 8(6 + x) + -13 17 + 10x = (6 * 8 + x * 8) + -13 17 + 10x = (48 + 8x) + -13 Reorder the terms: 17 + 10x = 48 + -13 + 8x Combine like terms: 48 + -13 = 35 17 + 10x = 35 + 8x Solving 17 + 10x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 10x + -8x = 35 + 8x + -8x Combine like terms: 10x + -8x = 2x 17 + 2x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + 2x = 35 + 0 17 + 2x = 35 Add '-17' to each side of the equation. 17 + -17 + 2x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 35 + -17 2x = 35 + -17 Combine like terms: 35 + -17 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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