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Simplifying 6(3x + -4) + 5 = -11x + 14 + 12w Reorder the terms: 6(-4 + 3x) + 5 = -11x + 14 + 12w (-4 * 6 + 3x * 6) + 5 = -11x + 14 + 12w (-24 + 18x) + 5 = -11x + 14 + 12w Reorder the terms: -24 + 5 + 18x = -11x + 14 + 12w Combine like terms: -24 + 5 = -19 -19 + 18x = -11x + 14 + 12w Reorder the terms: -19 + 18x = 14 + 12w + -11x Solving -19 + 18x = 14 + 12w + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -19 + 18x + 11x = 14 + 12w + -11x + 11x Combine like terms: 18x + 11x = 29x -19 + 29x = 14 + 12w + -11x + 11x Combine like terms: -11x + 11x = 0 -19 + 29x = 14 + 12w + 0 -19 + 29x = 14 + 12w Add '19' to each side of the equation. -19 + 19 + 29x = 14 + 19 + 12w Combine like terms: -19 + 19 = 0 0 + 29x = 14 + 19 + 12w 29x = 14 + 19 + 12w Combine like terms: 14 + 19 = 33 29x = 33 + 12w Divide each side by '29'. x = 1.137931034 + 0.4137931034w Simplifying x = 1.137931034 + 0.4137931034w
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