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Simplifying 6(2x + -3) = -1(x + -9) + 4x Reorder the terms: 6(-3 + 2x) = -1(x + -9) + 4x (-3 * 6 + 2x * 6) = -1(x + -9) + 4x (-18 + 12x) = -1(x + -9) + 4x Reorder the terms: -18 + 12x = -1(-9 + x) + 4x -18 + 12x = (-9 * -1 + x * -1) + 4x -18 + 12x = (9 + -1x) + 4x Combine like terms: -1x + 4x = 3x -18 + 12x = 9 + 3x Solving -18 + 12x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 12x + -3x = 9 + 3x + -3x Combine like terms: 12x + -3x = 9x -18 + 9x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 9x = 9 + 0 -18 + 9x = 9 Add '18' to each side of the equation. -18 + 18 + 9x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 9 + 18 9x = 9 + 18 Combine like terms: 9 + 18 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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