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Simplifying -102 = -6x + 6(-1x + -7) Reorder the terms: -102 = -6x + 6(-7 + -1x) -102 = -6x + (-7 * 6 + -1x * 6) -102 = -6x + (-42 + -6x) Reorder the terms: -102 = -42 + -6x + -6x Combine like terms: -6x + -6x = -12x -102 = -42 + -12x Solving -102 = -42 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -102 + 12x = -42 + -12x + 12x Combine like terms: -12x + 12x = 0 -102 + 12x = -42 + 0 -102 + 12x = -42 Add '102' to each side of the equation. -102 + 102 + 12x = -42 + 102 Combine like terms: -102 + 102 = 0 0 + 12x = -42 + 102 12x = -42 + 102 Combine like terms: -42 + 102 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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