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Simplifying -28x = 10 + -21 + -1(-17x + -10) + (-29x + 23) Reorder the terms: -28x = 10 + -21 + -1(-10 + -17x) + (-29x + 23) -28x = 10 + -21 + (-10 * -1 + -17x * -1) + (-29x + 23) -28x = 10 + -21 + (10 + 17x) + (-29x + 23) Reorder the terms: -28x = 10 + -21 + 10 + 17x + (23 + -29x) Remove parenthesis around (23 + -29x) -28x = 10 + -21 + 10 + 17x + 23 + -29x Reorder the terms: -28x = 10 + -21 + 10 + 23 + 17x + -29x Combine like terms: 10 + -21 = -11 -28x = -11 + 10 + 23 + 17x + -29x Combine like terms: -11 + 10 = -1 -28x = -1 + 23 + 17x + -29x Combine like terms: -1 + 23 = 22 -28x = 22 + 17x + -29x Combine like terms: 17x + -29x = -12x -28x = 22 + -12x Solving -28x = 22 + -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. -28x + 12x = 22 + -12x + 12x Combine like terms: -28x + 12x = -16x -16x = 22 + -12x + 12x Combine like terms: -12x + 12x = 0 -16x = 22 + 0 -16x = 22 Divide each side by '-16'. x = -1.375 Simplifying x = -1.375
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