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Simplifying 10x + -1(2x + 5) + 17 = 5x Reorder the terms: 10x + -1(5 + 2x) + 17 = 5x 10x + (5 * -1 + 2x * -1) + 17 = 5x 10x + (-5 + -2x) + 17 = 5x Reorder the terms: -5 + 17 + 10x + -2x = 5x Combine like terms: -5 + 17 = 12 12 + 10x + -2x = 5x Combine like terms: 10x + -2x = 8x 12 + 8x = 5x Solving 12 + 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = 0 Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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