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Simplifying 4(x + -6) + -2(x + -3) + 9x = 0 Reorder the terms: 4(-6 + x) + -2(x + -3) + 9x = 0 (-6 * 4 + x * 4) + -2(x + -3) + 9x = 0 (-24 + 4x) + -2(x + -3) + 9x = 0 Reorder the terms: -24 + 4x + -2(-3 + x) + 9x = 0 -24 + 4x + (-3 * -2 + x * -2) + 9x = 0 -24 + 4x + (6 + -2x) + 9x = 0 Reorder the terms: -24 + 6 + 4x + -2x + 9x = 0 Combine like terms: -24 + 6 = -18 -18 + 4x + -2x + 9x = 0 Combine like terms: 4x + -2x = 2x -18 + 2x + 9x = 0 Combine like terms: 2x + 9x = 11x -18 + 11x = 0 Solving -18 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 0 + 18 11x = 0 + 18 Combine like terms: 0 + 18 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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