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Simplifying -1(1 + 3x) + -6(-7 + x) = 48 (1 * -1 + 3x * -1) + -6(-7 + x) = 48 (-1 + -3x) + -6(-7 + x) = 48 -1 + -3x + (-7 * -6 + x * -6) = 48 -1 + -3x + (42 + -6x) = 48 Reorder the terms: -1 + 42 + -3x + -6x = 48 Combine like terms: -1 + 42 = 41 41 + -3x + -6x = 48 Combine like terms: -3x + -6x = -9x 41 + -9x = 48 Solving 41 + -9x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -9x = 48 + -41 Combine like terms: 41 + -41 = 0 0 + -9x = 48 + -41 -9x = 48 + -41 Combine like terms: 48 + -41 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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