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Simplifying 6(x + -12) = x + 7(1 + 12x) Reorder the terms: 6(-12 + x) = x + 7(1 + 12x) (-12 * 6 + x * 6) = x + 7(1 + 12x) (-72 + 6x) = x + 7(1 + 12x) -72 + 6x = x + (1 * 7 + 12x * 7) -72 + 6x = x + (7 + 84x) Reorder the terms: -72 + 6x = 7 + x + 84x Combine like terms: x + 84x = 85x -72 + 6x = 7 + 85x Solving -72 + 6x = 7 + 85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85x' to each side of the equation. -72 + 6x + -85x = 7 + 85x + -85x Combine like terms: 6x + -85x = -79x -72 + -79x = 7 + 85x + -85x Combine like terms: 85x + -85x = 0 -72 + -79x = 7 + 0 -72 + -79x = 7 Add '72' to each side of the equation. -72 + 72 + -79x = 7 + 72 Combine like terms: -72 + 72 = 0 0 + -79x = 7 + 72 -79x = 7 + 72 Combine like terms: 7 + 72 = 79 -79x = 79 Divide each side by '-79'. x = -1 Simplifying x = -1
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