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Simplifying 9(x + -4) = 5(x + 8) Reorder the terms: 9(-4 + x) = 5(x + 8) (-4 * 9 + x * 9) = 5(x + 8) (-36 + 9x) = 5(x + 8) Reorder the terms: -36 + 9x = 5(8 + x) -36 + 9x = (8 * 5 + x * 5) -36 + 9x = (40 + 5x) Solving -36 + 9x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 9x + -5x = 40 + 5x + -5x Combine like terms: 9x + -5x = 4x -36 + 4x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 4x = 40 + 0 -36 + 4x = 40 Add '36' to each side of the equation. -36 + 36 + 4x = 40 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = 40 + 36 4x = 40 + 36 Combine like terms: 40 + 36 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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