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Simplifying 4x + 3(x + -6) = -9(2 + -1x) Reorder the terms: 4x + 3(-6 + x) = -9(2 + -1x) 4x + (-6 * 3 + x * 3) = -9(2 + -1x) 4x + (-18 + 3x) = -9(2 + -1x) Reorder the terms: -18 + 4x + 3x = -9(2 + -1x) Combine like terms: 4x + 3x = 7x -18 + 7x = -9(2 + -1x) -18 + 7x = (2 * -9 + -1x * -9) -18 + 7x = (-18 + 9x) Add '18' to each side of the equation. -18 + 18 + 7x = -18 + 18 + 9x Combine like terms: -18 + 18 = 0 0 + 7x = -18 + 18 + 9x 7x = -18 + 18 + 9x Combine like terms: -18 + 18 = 0 7x = 0 + 9x 7x = 9x Solving 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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