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Simplifying 9x + -4 = 8 + 7(x + -5) Reorder the terms: -4 + 9x = 8 + 7(x + -5) Reorder the terms: -4 + 9x = 8 + 7(-5 + x) -4 + 9x = 8 + (-5 * 7 + x * 7) -4 + 9x = 8 + (-35 + 7x) Combine like terms: 8 + -35 = -27 -4 + 9x = -27 + 7x Solving -4 + 9x = -27 + 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. -4 + 9x + -7x = -27 + 7x + -7x Combine like terms: 9x + -7x = 2x -4 + 2x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 2x = -27 + 0 -4 + 2x = -27 Add '4' to each side of the equation. -4 + 4 + 2x = -27 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -27 + 4 2x = -27 + 4 Combine like terms: -27 + 4 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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