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Simplifying 2(3 + -2x) = 3(x + -7) (3 * 2 + -2x * 2) = 3(x + -7) (6 + -4x) = 3(x + -7) Reorder the terms: 6 + -4x = 3(-7 + x) 6 + -4x = (-7 * 3 + x * 3) 6 + -4x = (-21 + 3x) Solving 6 + -4x = -21 + 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. 6 + -4x + -3x = -21 + 3x + -3x Combine like terms: -4x + -3x = -7x 6 + -7x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -7x = -21 + 0 6 + -7x = -21 Add '-6' to each side of the equation. 6 + -6 + -7x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -21 + -6 -7x = -21 + -6 Combine like terms: -21 + -6 = -27 -7x = -27 Divide each side by '-7'. x = 3.857142857 Simplifying x = 3.857142857
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