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Simplifying -5(7 + 2x) + 4(6 + x) = 0 (7 * -5 + 2x * -5) + 4(6 + x) = 0 (-35 + -10x) + 4(6 + x) = 0 -35 + -10x + (6 * 4 + x * 4) = 0 -35 + -10x + (24 + 4x) = 0 Reorder the terms: -35 + 24 + -10x + 4x = 0 Combine like terms: -35 + 24 = -11 -11 + -10x + 4x = 0 Combine like terms: -10x + 4x = -6x -11 + -6x = 0 Solving -11 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 0 + 11 -6x = 0 + 11 Combine like terms: 0 + 11 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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