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Simplifying -116 = 6x + -7(-2x + -12) Reorder the terms: -116 = 6x + -7(-12 + -2x) -116 = 6x + (-12 * -7 + -2x * -7) -116 = 6x + (84 + 14x) Reorder the terms: -116 = 84 + 6x + 14x Combine like terms: 6x + 14x = 20x -116 = 84 + 20x Solving -116 = 84 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -116 + -20x = 84 + 20x + -20x Combine like terms: 20x + -20x = 0 -116 + -20x = 84 + 0 -116 + -20x = 84 Add '116' to each side of the equation. -116 + 116 + -20x = 84 + 116 Combine like terms: -116 + 116 = 0 0 + -20x = 84 + 116 -20x = 84 + 116 Combine like terms: 84 + 116 = 200 -20x = 200 Divide each side by '-20'. x = -10 Simplifying x = -10
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