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Simplifying 3(x + 6) + -4 = 6x + w Reorder the terms: 3(6 + x) + -4 = 6x + w (6 * 3 + x * 3) + -4 = 6x + w (18 + 3x) + -4 = 6x + w Reorder the terms: 18 + -4 + 3x = 6x + w Combine like terms: 18 + -4 = 14 14 + 3x = 6x + w Reorder the terms: 14 + 3x = w + 6x Solving 14 + 3x = w + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 3x + -6x = w + 6x + -6x Combine like terms: 3x + -6x = -3x 14 + -3x = w + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -3x = w + 0 14 + -3x = w Add '-14' to each side of the equation. 14 + -14 + -3x = -14 + w Combine like terms: 14 + -14 = 0 0 + -3x = -14 + w -3x = -14 + w Divide each side by '-3'. x = 4.666666667 + -0.3333333333w Simplifying x = 4.666666667 + -0.3333333333w
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