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Simplifying 7(x + 4) + -3(x + -5) = 6 Reorder the terms: 7(4 + x) + -3(x + -5) = 6 (4 * 7 + x * 7) + -3(x + -5) = 6 (28 + 7x) + -3(x + -5) = 6 Reorder the terms: 28 + 7x + -3(-5 + x) = 6 28 + 7x + (-5 * -3 + x * -3) = 6 28 + 7x + (15 + -3x) = 6 Reorder the terms: 28 + 15 + 7x + -3x = 6 Combine like terms: 28 + 15 = 43 43 + 7x + -3x = 6 Combine like terms: 7x + -3x = 4x 43 + 4x = 6 Solving 43 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 4x = 6 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 6 + -43 4x = 6 + -43 Combine like terms: 6 + -43 = -37 4x = -37 Divide each side by '4'. x = -9.25 Simplifying x = -9.25
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