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Simplifying 116 = 6x + 5(6x + -10) Reorder the terms: 116 = 6x + 5(-10 + 6x) 116 = 6x + (-10 * 5 + 6x * 5) 116 = 6x + (-50 + 30x) Reorder the terms: 116 = -50 + 6x + 30x Combine like terms: 6x + 30x = 36x 116 = -50 + 36x Solving 116 = -50 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 116 + -36x = -50 + 36x + -36x Combine like terms: 36x + -36x = 0 116 + -36x = -50 + 0 116 + -36x = -50 Add '-116' to each side of the equation. 116 + -116 + -36x = -50 + -116 Combine like terms: 116 + -116 = 0 0 + -36x = -50 + -116 -36x = -50 + -116 Combine like terms: -50 + -116 = -166 -36x = -166 Divide each side by '-36'. x = 4.611111111 Simplifying x = 4.611111111
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