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Simplifying 4(X + 35) + -3(-1X + 28) = 7 Reorder the terms: 4(35 + X) + -3(-1X + 28) = 7 (35 * 4 + X * 4) + -3(-1X + 28) = 7 (140 + 4X) + -3(-1X + 28) = 7 Reorder the terms: 140 + 4X + -3(28 + -1X) = 7 140 + 4X + (28 * -3 + -1X * -3) = 7 140 + 4X + (-84 + 3X) = 7 Reorder the terms: 140 + -84 + 4X + 3X = 7 Combine like terms: 140 + -84 = 56 56 + 4X + 3X = 7 Combine like terms: 4X + 3X = 7X 56 + 7X = 7 Solving 56 + 7X = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 7X = 7 + -56 Combine like terms: 56 + -56 = 0 0 + 7X = 7 + -56 7X = 7 + -56 Combine like terms: 7 + -56 = -49 7X = -49 Divide each side by '7'. X = -7 Simplifying X = -7
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