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Simplifying 17 + -1(4x + -5) = 9x + -3(x + 7) Reorder the terms: 17 + -1(-5 + 4x) = 9x + -3(x + 7) 17 + (-5 * -1 + 4x * -1) = 9x + -3(x + 7) 17 + (5 + -4x) = 9x + -3(x + 7) Combine like terms: 17 + 5 = 22 22 + -4x = 9x + -3(x + 7) Reorder the terms: 22 + -4x = 9x + -3(7 + x) 22 + -4x = 9x + (7 * -3 + x * -3) 22 + -4x = 9x + (-21 + -3x) Reorder the terms: 22 + -4x = -21 + 9x + -3x Combine like terms: 9x + -3x = 6x 22 + -4x = -21 + 6x Solving 22 + -4x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -4x + -6x = -21 + 6x + -6x Combine like terms: -4x + -6x = -10x 22 + -10x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -10x = -21 + 0 22 + -10x = -21 Add '-22' to each side of the equation. 22 + -22 + -10x = -21 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = -21 + -22 -10x = -21 + -22 Combine like terms: -21 + -22 = -43 -10x = -43 Divide each side by '-10'. x = 4.3 Simplifying x = 4.3
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