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Simplifying 3(2 + -1x) = 7(x + -2) (2 * 3 + -1x * 3) = 7(x + -2) (6 + -3x) = 7(x + -2) Reorder the terms: 6 + -3x = 7(-2 + x) 6 + -3x = (-2 * 7 + x * 7) 6 + -3x = (-14 + 7x) Solving 6 + -3x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -3x + -7x = -14 + 7x + -7x Combine like terms: -3x + -7x = -10x 6 + -10x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -10x = -14 + 0 6 + -10x = -14 Add '-6' to each side of the equation. 6 + -6 + -10x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -14 + -6 -10x = -14 + -6 Combine like terms: -14 + -6 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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