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Simplifying 77 + -1(4x + 3) = 4(x + 5) + x Reorder the terms: 77 + -1(3 + 4x) = 4(x + 5) + x 77 + (3 * -1 + 4x * -1) = 4(x + 5) + x 77 + (-3 + -4x) = 4(x + 5) + x Combine like terms: 77 + -3 = 74 74 + -4x = 4(x + 5) + x Reorder the terms: 74 + -4x = 4(5 + x) + x 74 + -4x = (5 * 4 + x * 4) + x 74 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 74 + -4x = 20 + 5x Solving 74 + -4x = 20 + 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. 74 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 74 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 74 + -9x = 20 + 0 74 + -9x = 20 Add '-74' to each side of the equation. 74 + -74 + -9x = 20 + -74 Combine like terms: 74 + -74 = 0 0 + -9x = 20 + -74 -9x = 20 + -74 Combine like terms: 20 + -74 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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