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Simplifying 12 + -3(2x + 1) = 7w + -3(7 + x) Reorder the terms: 12 + -3(1 + 2x) = 7w + -3(7 + x) 12 + (1 * -3 + 2x * -3) = 7w + -3(7 + x) 12 + (-3 + -6x) = 7w + -3(7 + x) Combine like terms: 12 + -3 = 9 9 + -6x = 7w + -3(7 + x) 9 + -6x = 7w + (7 * -3 + x * -3) 9 + -6x = 7w + (-21 + -3x) Reorder the terms: 9 + -6x = -21 + 7w + -3x Solving 9 + -6x = -21 + 7w + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -6x + 3x = -21 + 7w + -3x + 3x Combine like terms: -6x + 3x = -3x 9 + -3x = -21 + 7w + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -3x = -21 + 7w + 0 9 + -3x = -21 + 7w Add '-9' to each side of the equation. 9 + -9 + -3x = -21 + -9 + 7w Combine like terms: 9 + -9 = 0 0 + -3x = -21 + -9 + 7w -3x = -21 + -9 + 7w Combine like terms: -21 + -9 = -30 -3x = -30 + 7w Divide each side by '-3'. x = 10 + -2.333333333w Simplifying x = 10 + -2.333333333w
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