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Simplifying 5(2x + 6) + -6(4x + 6) = 0 Reorder the terms: 5(6 + 2x) + -6(4x + 6) = 0 (6 * 5 + 2x * 5) + -6(4x + 6) = 0 (30 + 10x) + -6(4x + 6) = 0 Reorder the terms: 30 + 10x + -6(6 + 4x) = 0 30 + 10x + (6 * -6 + 4x * -6) = 0 30 + 10x + (-36 + -24x) = 0 Reorder the terms: 30 + -36 + 10x + -24x = 0 Combine like terms: 30 + -36 = -6 -6 + 10x + -24x = 0 Combine like terms: 10x + -24x = -14x -6 + -14x = 0 Solving -6 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -14x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 0 + 6 -14x = 0 + 6 Combine like terms: 0 + 6 = 6 -14x = 6 Divide each side by '-14'. x = -0.4285714286 Simplifying x = -0.4285714286
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