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Simplifying 6(x + 8) + x = -4(1 + -1x) Reorder the terms: 6(8 + x) + x = -4(1 + -1x) (8 * 6 + x * 6) + x = -4(1 + -1x) (48 + 6x) + x = -4(1 + -1x) Combine like terms: 6x + x = 7x 48 + 7x = -4(1 + -1x) 48 + 7x = (1 * -4 + -1x * -4) 48 + 7x = (-4 + 4x) Solving 48 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x 48 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 3x = -4 + 0 48 + 3x = -4 Add '-48' to each side of the equation. 48 + -48 + 3x = -4 + -48 Combine like terms: 48 + -48 = 0 0 + 3x = -4 + -48 3x = -4 + -48 Combine like terms: -4 + -48 = -52 3x = -52 Divide each side by '3'. x = -17.33333333 Simplifying x = -17.33333333
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