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Simplifying -9(x + 4) + 4x + 5 = 5x + 10 Reorder the terms: -9(4 + x) + 4x + 5 = 5x + 10 (4 * -9 + x * -9) + 4x + 5 = 5x + 10 (-36 + -9x) + 4x + 5 = 5x + 10 Reorder the terms: -36 + 5 + -9x + 4x = 5x + 10 Combine like terms: -36 + 5 = -31 -31 + -9x + 4x = 5x + 10 Combine like terms: -9x + 4x = -5x -31 + -5x = 5x + 10 Reorder the terms: -31 + -5x = 10 + 5x Solving -31 + -5x = 10 + 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. -31 + -5x + -5x = 10 + 5x + -5x Combine like terms: -5x + -5x = -10x -31 + -10x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + -10x = 10 + 0 -31 + -10x = 10 Add '31' to each side of the equation. -31 + 31 + -10x = 10 + 31 Combine like terms: -31 + 31 = 0 0 + -10x = 10 + 31 -10x = 10 + 31 Combine like terms: 10 + 31 = 41 -10x = 41 Divide each side by '-10'. x = -4.1 Simplifying x = -4.1
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