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Simplifying 6(x + 13) = 7x + -8 + -3x Reorder the terms: 6(13 + x) = 7x + -8 + -3x (13 * 6 + x * 6) = 7x + -8 + -3x (78 + 6x) = 7x + -8 + -3x Reorder the terms: 78 + 6x = -8 + 7x + -3x Combine like terms: 7x + -3x = 4x 78 + 6x = -8 + 4x Solving 78 + 6x = -8 + 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. 78 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x 78 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + 2x = -8 + 0 78 + 2x = -8 Add '-78' to each side of the equation. 78 + -78 + 2x = -8 + -78 Combine like terms: 78 + -78 = 0 0 + 2x = -8 + -78 2x = -8 + -78 Combine like terms: -8 + -78 = -86 2x = -86 Divide each side by '2'. x = -43 Simplifying x = -43
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