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Simplifying x(3 + -2) + 4(x + -2) = 43 Combine like terms: 3 + -2 = 1 x(1) + 4(x + -2) = 43 Reorder the terms for easier multiplication: 1x + 4(x + -2) = 43 Reorder the terms: 1x + 4(-2 + x) = 43 1x + (-2 * 4 + x * 4) = 43 1x + (-8 + 4x) = 43 Reorder the terms: -8 + 1x + 4x = 43 Combine like terms: 1x + 4x = 5x -8 + 5x = 43 Solving -8 + 5x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 43 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 43 + 8 5x = 43 + 8 Combine like terms: 43 + 8 = 51 5x = 51 Divide each side by '5'. x = 10.2 Simplifying x = 10.2
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