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Simplifying 3(3x + -4) = -2x + 43 Reorder the terms: 3(-4 + 3x) = -2x + 43 (-4 * 3 + 3x * 3) = -2x + 43 (-12 + 9x) = -2x + 43 Reorder the terms: -12 + 9x = 43 + -2x Solving -12 + 9x = 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. -12 + 9x + 2x = 43 + -2x + 2x Combine like terms: 9x + 2x = 11x -12 + 11x = 43 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 11x = 43 + 0 -12 + 11x = 43 Add '12' to each side of the equation. -12 + 12 + 11x = 43 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 43 + 12 11x = 43 + 12 Combine like terms: 43 + 12 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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