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Simplifying -10 + 4x = 4x + 5(x + 4) Reorder the terms: -10 + 4x = 4x + 5(4 + x) -10 + 4x = 4x + (4 * 5 + x * 5) -10 + 4x = 4x + (20 + 5x) Reorder the terms: -10 + 4x = 20 + 4x + 5x Combine like terms: 4x + 5x = 9x -10 + 4x = 20 + 9x Solving -10 + 4x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 4x + -9x = 20 + 9x + -9x Combine like terms: 4x + -9x = -5x -10 + -5x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -5x = 20 + 0 -10 + -5x = 20 Add '10' to each side of the equation. -10 + 10 + -5x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 20 + 10 -5x = 20 + 10 Combine like terms: 20 + 10 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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