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Simplifying 5(x + 4) + 4x + -5 = 4 + -2x Reorder the terms: 5(4 + x) + 4x + -5 = 4 + -2x (4 * 5 + x * 5) + 4x + -5 = 4 + -2x (20 + 5x) + 4x + -5 = 4 + -2x Reorder the terms: 20 + -5 + 5x + 4x = 4 + -2x Combine like terms: 20 + -5 = 15 15 + 5x + 4x = 4 + -2x Combine like terms: 5x + 4x = 9x 15 + 9x = 4 + -2x Solving 15 + 9x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 9x + 2x = 4 + -2x + 2x Combine like terms: 9x + 2x = 11x 15 + 11x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 11x = 4 + 0 15 + 11x = 4 Add '-15' to each side of the equation. 15 + -15 + 11x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 4 + -15 11x = 4 + -15 Combine like terms: 4 + -15 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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