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Simplifying 3(2x + -7) + 2(x + 3) = 14 Reorder the terms: 3(-7 + 2x) + 2(x + 3) = 14 (-7 * 3 + 2x * 3) + 2(x + 3) = 14 (-21 + 6x) + 2(x + 3) = 14 Reorder the terms: -21 + 6x + 2(3 + x) = 14 -21 + 6x + (3 * 2 + x * 2) = 14 -21 + 6x + (6 + 2x) = 14 Reorder the terms: -21 + 6 + 6x + 2x = 14 Combine like terms: -21 + 6 = -15 -15 + 6x + 2x = 14 Combine like terms: 6x + 2x = 8x -15 + 8x = 14 Solving -15 + 8x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 14 + 15 8x = 14 + 15 Combine like terms: 14 + 15 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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