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Simplifying 8 + 7x + 43 = 6 + -3x + -27 Reorder the terms: 8 + 43 + 7x = 6 + -3x + -27 Combine like terms: 8 + 43 = 51 51 + 7x = 6 + -3x + -27 Reorder the terms: 51 + 7x = 6 + -27 + -3x Combine like terms: 6 + -27 = -21 51 + 7x = -21 + -3x Solving 51 + 7x = -21 + -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. 51 + 7x + 3x = -21 + -3x + 3x Combine like terms: 7x + 3x = 10x 51 + 10x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 51 + 10x = -21 + 0 51 + 10x = -21 Add '-51' to each side of the equation. 51 + -51 + 10x = -21 + -51 Combine like terms: 51 + -51 = 0 0 + 10x = -21 + -51 10x = -21 + -51 Combine like terms: -21 + -51 = -72 10x = -72 Divide each side by '10'. x = -7.2 Simplifying x = -7.2
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