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Simplifying 7(10 + -1X) + -1(4 + -1X) = 48 (10 * 7 + -1X * 7) + -1(4 + -1X) = 48 (70 + -7X) + -1(4 + -1X) = 48 70 + -7X + (4 * -1 + -1X * -1) = 48 70 + -7X + (-4 + 1X) = 48 Reorder the terms: 70 + -4 + -7X + 1X = 48 Combine like terms: 70 + -4 = 66 66 + -7X + 1X = 48 Combine like terms: -7X + 1X = -6X 66 + -6X = 48 Solving 66 + -6X = 48 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -6X = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -6X = 48 + -66 -6X = 48 + -66 Combine like terms: 48 + -66 = -18 -6X = -18 Divide each side by '-6'. X = 3 Simplifying X = 3
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