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Simplifying 5(3x + -6) + 2(x + 4) = 0 Reorder the terms: 5(-6 + 3x) + 2(x + 4) = 0 (-6 * 5 + 3x * 5) + 2(x + 4) = 0 (-30 + 15x) + 2(x + 4) = 0 Reorder the terms: -30 + 15x + 2(4 + x) = 0 -30 + 15x + (4 * 2 + x * 2) = 0 -30 + 15x + (8 + 2x) = 0 Reorder the terms: -30 + 8 + 15x + 2x = 0 Combine like terms: -30 + 8 = -22 -22 + 15x + 2x = 0 Combine like terms: 15x + 2x = 17x -22 + 17x = 0 Solving -22 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 17x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 17x = 0 + 22 17x = 0 + 22 Combine like terms: 0 + 22 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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