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Simplifying 4(x + -5) + 14(x + 9) = 0 Reorder the terms: 4(-5 + x) + 14(x + 9) = 0 (-5 * 4 + x * 4) + 14(x + 9) = 0 (-20 + 4x) + 14(x + 9) = 0 Reorder the terms: -20 + 4x + 14(9 + x) = 0 -20 + 4x + (9 * 14 + x * 14) = 0 -20 + 4x + (126 + 14x) = 0 Reorder the terms: -20 + 126 + 4x + 14x = 0 Combine like terms: -20 + 126 = 106 106 + 4x + 14x = 0 Combine like terms: 4x + 14x = 18x 106 + 18x = 0 Solving 106 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 18x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 18x = 0 + -106 18x = 0 + -106 Combine like terms: 0 + -106 = -106 18x = -106 Divide each side by '18'. x = -5.888888889 Simplifying x = -5.888888889
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