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Simplifying -70 + -14x = 8(1 + -12x) + 4 -70 + -14x = (1 * 8 + -12x * 8) + 4 -70 + -14x = (8 + -96x) + 4 Reorder the terms: -70 + -14x = 8 + 4 + -96x Combine like terms: 8 + 4 = 12 -70 + -14x = 12 + -96x Solving -70 + -14x = 12 + -96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96x' to each side of the equation. -70 + -14x + 96x = 12 + -96x + 96x Combine like terms: -14x + 96x = 82x -70 + 82x = 12 + -96x + 96x Combine like terms: -96x + 96x = 0 -70 + 82x = 12 + 0 -70 + 82x = 12 Add '70' to each side of the equation. -70 + 70 + 82x = 12 + 70 Combine like terms: -70 + 70 = 0 0 + 82x = 12 + 70 82x = 12 + 70 Combine like terms: 12 + 70 = 82 82x = 82 Divide each side by '82'. x = 1 Simplifying x = 1
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