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Simplifying 5x + 16 + -17x + -1(-13) = 8(5 + -9) Multiply -1 * -13 5x + 16 + -17x + 13 = 8(5 + -9) Reorder the terms: 16 + 13 + 5x + -17x = 8(5 + -9) Combine like terms: 16 + 13 = 29 29 + 5x + -17x = 8(5 + -9) Combine like terms: 5x + -17x = -12x 29 + -12x = 8(5 + -9) Combine like terms: 5 + -9 = -4 29 + -12x = 8(-4) Multiply 8 * -4 29 + -12x = -32 Solving 29 + -12x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -12x = -32 + -29 Combine like terms: 29 + -29 = 0 0 + -12x = -32 + -29 -12x = -32 + -29 Combine like terms: -32 + -29 = -61 -12x = -61 Divide each side by '-12'. x = 5.083333333 Simplifying x = 5.083333333
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