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Simplifying 6(2x + -3) = 4x + -2 + 5x + -4 Reorder the terms: 6(-3 + 2x) = 4x + -2 + 5x + -4 (-3 * 6 + 2x * 6) = 4x + -2 + 5x + -4 (-18 + 12x) = 4x + -2 + 5x + -4 Reorder the terms: -18 + 12x = -2 + -4 + 4x + 5x Combine like terms: -2 + -4 = -6 -18 + 12x = -6 + 4x + 5x Combine like terms: 4x + 5x = 9x -18 + 12x = -6 + 9x Solving -18 + 12x = -6 + 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. -18 + 12x + -9x = -6 + 9x + -9x Combine like terms: 12x + -9x = 3x -18 + 3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 3x = -6 + 0 -18 + 3x = -6 Add '18' to each side of the equation. -18 + 18 + 3x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -6 + 18 3x = -6 + 18 Combine like terms: -6 + 18 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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