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Simplifying 2(3x + 4) + 3(x + -5) = 0 Reorder the terms: 2(4 + 3x) + 3(x + -5) = 0 (4 * 2 + 3x * 2) + 3(x + -5) = 0 (8 + 6x) + 3(x + -5) = 0 Reorder the terms: 8 + 6x + 3(-5 + x) = 0 8 + 6x + (-5 * 3 + x * 3) = 0 8 + 6x + (-15 + 3x) = 0 Reorder the terms: 8 + -15 + 6x + 3x = 0 Combine like terms: 8 + -15 = -7 -7 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x -7 + 9x = 0 Solving -7 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 0 + 7 9x = 0 + 7 Combine like terms: 0 + 7 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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