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Simplifying 10x + -1(17 + -6x) = 13x + -5(1 + -3x) 10x + (17 * -1 + -6x * -1) = 13x + -5(1 + -3x) 10x + (-17 + 6x) = 13x + -5(1 + -3x) Reorder the terms: -17 + 10x + 6x = 13x + -5(1 + -3x) Combine like terms: 10x + 6x = 16x -17 + 16x = 13x + -5(1 + -3x) -17 + 16x = 13x + (1 * -5 + -3x * -5) -17 + 16x = 13x + (-5 + 15x) Reorder the terms: -17 + 16x = -5 + 13x + 15x Combine like terms: 13x + 15x = 28x -17 + 16x = -5 + 28x Solving -17 + 16x = -5 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -17 + 16x + -28x = -5 + 28x + -28x Combine like terms: 16x + -28x = -12x -17 + -12x = -5 + 28x + -28x Combine like terms: 28x + -28x = 0 -17 + -12x = -5 + 0 -17 + -12x = -5 Add '17' to each side of the equation. -17 + 17 + -12x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -12x = -5 + 17 -12x = -5 + 17 Combine like terms: -5 + 17 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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