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Simplifying 3(3x + -6) = -2(2x + 3) + 14 Reorder the terms: 3(-6 + 3x) = -2(2x + 3) + 14 (-6 * 3 + 3x * 3) = -2(2x + 3) + 14 (-18 + 9x) = -2(2x + 3) + 14 Reorder the terms: -18 + 9x = -2(3 + 2x) + 14 -18 + 9x = (3 * -2 + 2x * -2) + 14 -18 + 9x = (-6 + -4x) + 14 Reorder the terms: -18 + 9x = -6 + 14 + -4x Combine like terms: -6 + 14 = 8 -18 + 9x = 8 + -4x Solving -18 + 9x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 9x + 4x = 8 + -4x + 4x Combine like terms: 9x + 4x = 13x -18 + 13x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 13x = 8 + 0 -18 + 13x = 8 Add '18' to each side of the equation. -18 + 18 + 13x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 8 + 18 13x = 8 + 18 Combine like terms: 8 + 18 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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