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Simplifying 5(x + 4) + -1(4x + -7) = 4 Reorder the terms: 5(4 + x) + -1(4x + -7) = 4 (4 * 5 + x * 5) + -1(4x + -7) = 4 (20 + 5x) + -1(4x + -7) = 4 Reorder the terms: 20 + 5x + -1(-7 + 4x) = 4 20 + 5x + (-7 * -1 + 4x * -1) = 4 20 + 5x + (7 + -4x) = 4 Reorder the terms: 20 + 7 + 5x + -4x = 4 Combine like terms: 20 + 7 = 27 27 + 5x + -4x = 4 Combine like terms: 5x + -4x = 1x 27 + 1x = 4 Solving 27 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1x = 4 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 4 + -27 1x = 4 + -27 Combine like terms: 4 + -27 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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