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Simplifying -5(x + 11) + 365 = 19 + 16 Reorder the terms: -5(11 + x) + 365 = 19 + 16 (11 * -5 + x * -5) + 365 = 19 + 16 (-55 + -5x) + 365 = 19 + 16 Reorder the terms: -55 + 365 + -5x = 19 + 16 Combine like terms: -55 + 365 = 310 310 + -5x = 19 + 16 Combine like terms: 19 + 16 = 35 310 + -5x = 35 Solving 310 + -5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-310' to each side of the equation. 310 + -310 + -5x = 35 + -310 Combine like terms: 310 + -310 = 0 0 + -5x = 35 + -310 -5x = 35 + -310 Combine like terms: 35 + -310 = -275 -5x = -275 Divide each side by '-5'. x = 55 Simplifying x = 55
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