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Simplifying 4 = 5(x + 7) + -4(4x + 5) Reorder the terms: 4 = 5(7 + x) + -4(4x + 5) 4 = (7 * 5 + x * 5) + -4(4x + 5) 4 = (35 + 5x) + -4(4x + 5) Reorder the terms: 4 = 35 + 5x + -4(5 + 4x) 4 = 35 + 5x + (5 * -4 + 4x * -4) 4 = 35 + 5x + (-20 + -16x) Reorder the terms: 4 = 35 + -20 + 5x + -16x Combine like terms: 35 + -20 = 15 4 = 15 + 5x + -16x Combine like terms: 5x + -16x = -11x 4 = 15 + -11x Solving 4 = 15 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 4 + 11x = 15 + -11x + 11x Combine like terms: -11x + 11x = 0 4 + 11x = 15 + 0 4 + 11x = 15 Add '-4' to each side of the equation. 4 + -4 + 11x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 15 + -4 11x = 15 + -4 Combine like terms: 15 + -4 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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