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Simplifying 3(x + -12) = 2x + 7 Reorder the terms: 3(-12 + x) = 2x + 7 (-12 * 3 + x * 3) = 2x + 7 (-36 + 3x) = 2x + 7 Reorder the terms: -36 + 3x = 7 + 2x Solving -36 + 3x = 7 + 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. -36 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -36 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 1x = 7 + 0 -36 + 1x = 7 Add '36' to each side of the equation. -36 + 36 + 1x = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = 7 + 36 1x = 7 + 36 Combine like terms: 7 + 36 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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