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Simplifying 3(2x + -7) = 2x + 43 Reorder the terms: 3(-7 + 2x) = 2x + 43 (-7 * 3 + 2x * 3) = 2x + 43 (-21 + 6x) = 2x + 43 Reorder the terms: -21 + 6x = 43 + 2x Solving -21 + 6x = 43 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 6x + -2x = 43 + 2x + -2x Combine like terms: 6x + -2x = 4x -21 + 4x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 4x = 43 + 0 -21 + 4x = 43 Add '21' to each side of the equation. -21 + 21 + 4x = 43 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 43 + 21 4x = 43 + 21 Combine like terms: 43 + 21 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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