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Simplifying 17 + -1(4x + -3) + 2 = 8 + 3(x + 5) + 9x Reorder the terms: 17 + -1(-3 + 4x) + 2 = 8 + 3(x + 5) + 9x 17 + (-3 * -1 + 4x * -1) + 2 = 8 + 3(x + 5) + 9x 17 + (3 + -4x) + 2 = 8 + 3(x + 5) + 9x Reorder the terms: 17 + 3 + 2 + -4x = 8 + 3(x + 5) + 9x Combine like terms: 17 + 3 = 20 20 + 2 + -4x = 8 + 3(x + 5) + 9x Combine like terms: 20 + 2 = 22 22 + -4x = 8 + 3(x + 5) + 9x Reorder the terms: 22 + -4x = 8 + 3(5 + x) + 9x 22 + -4x = 8 + (5 * 3 + x * 3) + 9x 22 + -4x = 8 + (15 + 3x) + 9x Combine like terms: 8 + 15 = 23 22 + -4x = 23 + 3x + 9x Combine like terms: 3x + 9x = 12x 22 + -4x = 23 + 12x Solving 22 + -4x = 23 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 22 + -4x + -12x = 23 + 12x + -12x Combine like terms: -4x + -12x = -16x 22 + -16x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -16x = 23 + 0 22 + -16x = 23 Add '-22' to each side of the equation. 22 + -22 + -16x = 23 + -22 Combine like terms: 22 + -22 = 0 0 + -16x = 23 + -22 -16x = 23 + -22 Combine like terms: 23 + -22 = 1 -16x = 1 Divide each side by '-16'. x = -0.0625 Simplifying x = -0.0625
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