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Simplifying 3(2x + -5) + 2(x + 7) = 43 Reorder the terms: 3(-5 + 2x) + 2(x + 7) = 43 (-5 * 3 + 2x * 3) + 2(x + 7) = 43 (-15 + 6x) + 2(x + 7) = 43 Reorder the terms: -15 + 6x + 2(7 + x) = 43 -15 + 6x + (7 * 2 + x * 2) = 43 -15 + 6x + (14 + 2x) = 43 Reorder the terms: -15 + 14 + 6x + 2x = 43 Combine like terms: -15 + 14 = -1 -1 + 6x + 2x = 43 Combine like terms: 6x + 2x = 8x -1 + 8x = 43 Solving -1 + 8x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 43 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 43 + 1 8x = 43 + 1 Combine like terms: 43 + 1 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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