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Simplifying -116 = 6x + 7(3x + -5) Reorder the terms: -116 = 6x + 7(-5 + 3x) -116 = 6x + (-5 * 7 + 3x * 7) -116 = 6x + (-35 + 21x) Reorder the terms: -116 = -35 + 6x + 21x Combine like terms: 6x + 21x = 27x -116 = -35 + 27x Solving -116 = -35 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -116 + -27x = -35 + 27x + -27x Combine like terms: 27x + -27x = 0 -116 + -27x = -35 + 0 -116 + -27x = -35 Add '116' to each side of the equation. -116 + 116 + -27x = -35 + 116 Combine like terms: -116 + 116 = 0 0 + -27x = -35 + 116 -27x = -35 + 116 Combine like terms: -35 + 116 = 81 -27x = 81 Divide each side by '-27'. x = -3 Simplifying x = -3
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