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Simplifying 7(x + 4) + -4(8 + 3x) = -41 Reorder the terms: 7(4 + x) + -4(8 + 3x) = -41 (4 * 7 + x * 7) + -4(8 + 3x) = -41 (28 + 7x) + -4(8 + 3x) = -41 28 + 7x + (8 * -4 + 3x * -4) = -41 28 + 7x + (-32 + -12x) = -41 Reorder the terms: 28 + -32 + 7x + -12x = -41 Combine like terms: 28 + -32 = -4 -4 + 7x + -12x = -41 Combine like terms: 7x + -12x = -5x -4 + -5x = -41 Solving -4 + -5x = -41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = -41 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -41 + 4 -5x = -41 + 4 Combine like terms: -41 + 4 = -37 -5x = -37 Divide each side by '-5'. x = 7.4 Simplifying x = 7.4
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