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Simplifying 2(4x + 7) = 7(x + -10) + 10 Reorder the terms: 2(7 + 4x) = 7(x + -10) + 10 (7 * 2 + 4x * 2) = 7(x + -10) + 10 (14 + 8x) = 7(x + -10) + 10 Reorder the terms: 14 + 8x = 7(-10 + x) + 10 14 + 8x = (-10 * 7 + x * 7) + 10 14 + 8x = (-70 + 7x) + 10 Reorder the terms: 14 + 8x = -70 + 10 + 7x Combine like terms: -70 + 10 = -60 14 + 8x = -60 + 7x Solving 14 + 8x = -60 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 8x + -7x = -60 + 7x + -7x Combine like terms: 8x + -7x = 1x 14 + 1x = -60 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 1x = -60 + 0 14 + 1x = -60 Add '-14' to each side of the equation. 14 + -14 + 1x = -60 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -60 + -14 1x = -60 + -14 Combine like terms: -60 + -14 = -74 1x = -74 Divide each side by '1'. x = -74 Simplifying x = -74
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