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Simplifying -2(x + 6) + 3(x + -5) = -47 Reorder the terms: -2(6 + x) + 3(x + -5) = -47 (6 * -2 + x * -2) + 3(x + -5) = -47 (-12 + -2x) + 3(x + -5) = -47 Reorder the terms: -12 + -2x + 3(-5 + x) = -47 -12 + -2x + (-5 * 3 + x * 3) = -47 -12 + -2x + (-15 + 3x) = -47 Reorder the terms: -12 + -15 + -2x + 3x = -47 Combine like terms: -12 + -15 = -27 -27 + -2x + 3x = -47 Combine like terms: -2x + 3x = 1x -27 + 1x = -47 Solving -27 + 1x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1x = -47 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -47 + 27 1x = -47 + 27 Combine like terms: -47 + 27 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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