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Simplifying (2x + -5) + 3(x + -4) = 0 Reorder the terms: (-5 + 2x) + 3(x + -4) = 0 Remove parenthesis around (-5 + 2x) -5 + 2x + 3(x + -4) = 0 Reorder the terms: -5 + 2x + 3(-4 + x) = 0 -5 + 2x + (-4 * 3 + x * 3) = 0 -5 + 2x + (-12 + 3x) = 0 Reorder the terms: -5 + -12 + 2x + 3x = 0 Combine like terms: -5 + -12 = -17 -17 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x -17 + 5x = 0 Solving -17 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 0 + 17 5x = 0 + 17 Combine like terms: 0 + 17 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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