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Simplifying -1(3x + -1) + 7 = 3(x + -5) + 4 Reorder the terms: -1(-1 + 3x) + 7 = 3(x + -5) + 4 (-1 * -1 + 3x * -1) + 7 = 3(x + -5) + 4 (1 + -3x) + 7 = 3(x + -5) + 4 Reorder the terms: 1 + 7 + -3x = 3(x + -5) + 4 Combine like terms: 1 + 7 = 8 8 + -3x = 3(x + -5) + 4 Reorder the terms: 8 + -3x = 3(-5 + x) + 4 8 + -3x = (-5 * 3 + x * 3) + 4 8 + -3x = (-15 + 3x) + 4 Reorder the terms: 8 + -3x = -15 + 4 + 3x Combine like terms: -15 + 4 = -11 8 + -3x = -11 + 3x Solving 8 + -3x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -3x + -3x = -11 + 3x + -3x Combine like terms: -3x + -3x = -6x 8 + -6x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -6x = -11 + 0 8 + -6x = -11 Add '-8' to each side of the equation. 8 + -8 + -6x = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -11 + -8 -6x = -11 + -8 Combine like terms: -11 + -8 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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