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Simplifying 10x + -7(12x + -10) = 7(-11x + 1) + 12 Reorder the terms: 10x + -7(-10 + 12x) = 7(-11x + 1) + 12 10x + (-10 * -7 + 12x * -7) = 7(-11x + 1) + 12 10x + (70 + -84x) = 7(-11x + 1) + 12 Reorder the terms: 70 + 10x + -84x = 7(-11x + 1) + 12 Combine like terms: 10x + -84x = -74x 70 + -74x = 7(-11x + 1) + 12 Reorder the terms: 70 + -74x = 7(1 + -11x) + 12 70 + -74x = (1 * 7 + -11x * 7) + 12 70 + -74x = (7 + -77x) + 12 Reorder the terms: 70 + -74x = 7 + 12 + -77x Combine like terms: 7 + 12 = 19 70 + -74x = 19 + -77x Solving 70 + -74x = 19 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. 70 + -74x + 77x = 19 + -77x + 77x Combine like terms: -74x + 77x = 3x 70 + 3x = 19 + -77x + 77x Combine like terms: -77x + 77x = 0 70 + 3x = 19 + 0 70 + 3x = 19 Add '-70' to each side of the equation. 70 + -70 + 3x = 19 + -70 Combine like terms: 70 + -70 = 0 0 + 3x = 19 + -70 3x = 19 + -70 Combine like terms: 19 + -70 = -51 3x = -51 Divide each side by '3'. x = -17 Simplifying x = -17
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