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Simplifying 6(2x + -3) + -3x = 2x + -4 Reorder the terms: 6(-3 + 2x) + -3x = 2x + -4 (-3 * 6 + 2x * 6) + -3x = 2x + -4 (-18 + 12x) + -3x = 2x + -4 Combine like terms: 12x + -3x = 9x -18 + 9x = 2x + -4 Reorder the terms: -18 + 9x = -4 + 2x Solving -18 + 9x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 9x + -2x = -4 + 2x + -2x Combine like terms: 9x + -2x = 7x -18 + 7x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 7x = -4 + 0 -18 + 7x = -4 Add '18' to each side of the equation. -18 + 18 + 7x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -4 + 18 7x = -4 + 18 Combine like terms: -4 + 18 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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