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Simplifying 3(2x + -7) = 2(2x + 1) Reorder the terms: 3(-7 + 2x) = 2(2x + 1) (-7 * 3 + 2x * 3) = 2(2x + 1) (-21 + 6x) = 2(2x + 1) Reorder the terms: -21 + 6x = 2(1 + 2x) -21 + 6x = (1 * 2 + 2x * 2) -21 + 6x = (2 + 4x) Solving -21 + 6x = 2 + 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. -21 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x -21 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 2x = 2 + 0 -21 + 2x = 2 Add '21' to each side of the equation. -21 + 21 + 2x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 2 + 21 2x = 2 + 21 Combine like terms: 2 + 21 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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