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Simplifying 3(x + 2) = 2(2x + -7) Reorder the terms: 3(2 + x) = 2(2x + -7) (2 * 3 + x * 3) = 2(2x + -7) (6 + 3x) = 2(2x + -7) Reorder the terms: 6 + 3x = 2(-7 + 2x) 6 + 3x = (-7 * 2 + 2x * 2) 6 + 3x = (-14 + 4x) Solving 6 + 3x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 3x + -4x = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = -14 + 0 6 + -1x = -14 Add '-6' to each side of the equation. 6 + -6 + -1x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -14 + -6 -1x = -14 + -6 Combine like terms: -14 + -6 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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