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Simplifying 7(10 + x) + -1(4 + -1x) = 48 (10 * 7 + x * 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 = 8x 66 + 8x = 48 Solving 66 + 8x = 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 + 8x = 48 + -66 Combine like terms: 66 + -66 = 0 0 + 8x = 48 + -66 8x = 48 + -66 Combine like terms: 48 + -66 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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