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Simplifying 7(-12x + -10) = -1 + -15x Reorder the terms: 7(-10 + -12x) = -1 + -15x (-10 * 7 + -12x * 7) = -1 + -15x (-70 + -84x) = -1 + -15x Solving -70 + -84x = -1 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -70 + -84x + 15x = -1 + -15x + 15x Combine like terms: -84x + 15x = -69x -70 + -69x = -1 + -15x + 15x Combine like terms: -15x + 15x = 0 -70 + -69x = -1 + 0 -70 + -69x = -1 Add '70' to each side of the equation. -70 + 70 + -69x = -1 + 70 Combine like terms: -70 + 70 = 0 0 + -69x = -1 + 70 -69x = -1 + 70 Combine like terms: -1 + 70 = 69 -69x = 69 Divide each side by '-69'. x = -1 Simplifying x = -1
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