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Simplifying -4(x + 3) = -9x + -47 Reorder the terms: -4(3 + x) = -9x + -47 (3 * -4 + x * -4) = -9x + -47 (-12 + -4x) = -9x + -47 Reorder the terms: -12 + -4x = -47 + -9x Solving -12 + -4x = -47 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + -4x + 9x = -47 + -9x + 9x Combine like terms: -4x + 9x = 5x -12 + 5x = -47 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 5x = -47 + 0 -12 + 5x = -47 Add '12' to each side of the equation. -12 + 12 + 5x = -47 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -47 + 12 5x = -47 + 12 Combine like terms: -47 + 12 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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