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Simplifying 7(6 + -1x) = -4 + -6(-2x + 8) (6 * 7 + -1x * 7) = -4 + -6(-2x + 8) (42 + -7x) = -4 + -6(-2x + 8) Reorder the terms: 42 + -7x = -4 + -6(8 + -2x) 42 + -7x = -4 + (8 * -6 + -2x * -6) 42 + -7x = -4 + (-48 + 12x) Combine like terms: -4 + -48 = -52 42 + -7x = -52 + 12x Solving 42 + -7x = -52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + -7x + -12x = -52 + 12x + -12x Combine like terms: -7x + -12x = -19x 42 + -19x = -52 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -19x = -52 + 0 42 + -19x = -52 Add '-42' to each side of the equation. 42 + -42 + -19x = -52 + -42 Combine like terms: 42 + -42 = 0 0 + -19x = -52 + -42 -19x = -52 + -42 Combine like terms: -52 + -42 = -94 -19x = -94 Divide each side by '-19'. x = 4.947368421 Simplifying x = 4.947368421
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