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Simplifying 55(x + -7) + -1(4x + -20) = x + -4 Reorder the terms: 55(-7 + x) + -1(4x + -20) = x + -4 (-7 * 55 + x * 55) + -1(4x + -20) = x + -4 (-385 + 55x) + -1(4x + -20) = x + -4 Reorder the terms: -385 + 55x + -1(-20 + 4x) = x + -4 -385 + 55x + (-20 * -1 + 4x * -1) = x + -4 -385 + 55x + (20 + -4x) = x + -4 Reorder the terms: -385 + 20 + 55x + -4x = x + -4 Combine like terms: -385 + 20 = -365 -365 + 55x + -4x = x + -4 Combine like terms: 55x + -4x = 51x -365 + 51x = x + -4 Reorder the terms: -365 + 51x = -4 + x Solving -365 + 51x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -365 + 51x + -1x = -4 + x + -1x Combine like terms: 51x + -1x = 50x -365 + 50x = -4 + x + -1x Combine like terms: x + -1x = 0 -365 + 50x = -4 + 0 -365 + 50x = -4 Add '365' to each side of the equation. -365 + 365 + 50x = -4 + 365 Combine like terms: -365 + 365 = 0 0 + 50x = -4 + 365 50x = -4 + 365 Combine like terms: -4 + 365 = 361 50x = 361 Divide each side by '50'. x = 7.22 Simplifying x = 7.22
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