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Simplifying 86 + -6(x + -5) = 29(x + -1) Reorder the terms: 86 + -6(-5 + x) = 29(x + -1) 86 + (-5 * -6 + x * -6) = 29(x + -1) 86 + (30 + -6x) = 29(x + -1) Combine like terms: 86 + 30 = 116 116 + -6x = 29(x + -1) Reorder the terms: 116 + -6x = 29(-1 + x) 116 + -6x = (-1 * 29 + x * 29) 116 + -6x = (-29 + 29x) Solving 116 + -6x = -29 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 116 + -6x + -29x = -29 + 29x + -29x Combine like terms: -6x + -29x = -35x 116 + -35x = -29 + 29x + -29x Combine like terms: 29x + -29x = 0 116 + -35x = -29 + 0 116 + -35x = -29 Add '-116' to each side of the equation. 116 + -116 + -35x = -29 + -116 Combine like terms: 116 + -116 = 0 0 + -35x = -29 + -116 -35x = -29 + -116 Combine like terms: -29 + -116 = -145 -35x = -145 Divide each side by '-35'. x = 4.142857143 Simplifying x = 4.142857143
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