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Simplifying 2(5x + -3) + 4(x + -8) = 11 Reorder the terms: 2(-3 + 5x) + 4(x + -8) = 11 (-3 * 2 + 5x * 2) + 4(x + -8) = 11 (-6 + 10x) + 4(x + -8) = 11 Reorder the terms: -6 + 10x + 4(-8 + x) = 11 -6 + 10x + (-8 * 4 + x * 4) = 11 -6 + 10x + (-32 + 4x) = 11 Reorder the terms: -6 + -32 + 10x + 4x = 11 Combine like terms: -6 + -32 = -38 -38 + 10x + 4x = 11 Combine like terms: 10x + 4x = 14x -38 + 14x = 11 Solving -38 + 14x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 14x = 11 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 11 + 38 14x = 11 + 38 Combine like terms: 11 + 38 = 49 14x = 49 Divide each side by '14'. x = 3.5 Simplifying x = 3.5
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