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Simplifying 5(x + 7) + 8 = 9x + -4(4x + -5) Reorder the terms: 5(7 + x) + 8 = 9x + -4(4x + -5) (7 * 5 + x * 5) + 8 = 9x + -4(4x + -5) (35 + 5x) + 8 = 9x + -4(4x + -5) Reorder the terms: 35 + 8 + 5x = 9x + -4(4x + -5) Combine like terms: 35 + 8 = 43 43 + 5x = 9x + -4(4x + -5) Reorder the terms: 43 + 5x = 9x + -4(-5 + 4x) 43 + 5x = 9x + (-5 * -4 + 4x * -4) 43 + 5x = 9x + (20 + -16x) Reorder the terms: 43 + 5x = 20 + 9x + -16x Combine like terms: 9x + -16x = -7x 43 + 5x = 20 + -7x Solving 43 + 5x = 20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 43 + 5x + 7x = 20 + -7x + 7x Combine like terms: 5x + 7x = 12x 43 + 12x = 20 + -7x + 7x Combine like terms: -7x + 7x = 0 43 + 12x = 20 + 0 43 + 12x = 20 Add '-43' to each side of the equation. 43 + -43 + 12x = 20 + -43 Combine like terms: 43 + -43 = 0 0 + 12x = 20 + -43 12x = 20 + -43 Combine like terms: 20 + -43 = -23 12x = -23 Divide each side by '12'. x = -1.916666667 Simplifying x = -1.916666667
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