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Simplifying -6(28x + 27) = 12(-42 + 2x) Reorder the terms: -6(27 + 28x) = 12(-42 + 2x) (27 * -6 + 28x * -6) = 12(-42 + 2x) (-162 + -168x) = 12(-42 + 2x) -162 + -168x = (-42 * 12 + 2x * 12) -162 + -168x = (-504 + 24x) Solving -162 + -168x = -504 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -162 + -168x + -24x = -504 + 24x + -24x Combine like terms: -168x + -24x = -192x -162 + -192x = -504 + 24x + -24x Combine like terms: 24x + -24x = 0 -162 + -192x = -504 + 0 -162 + -192x = -504 Add '162' to each side of the equation. -162 + 162 + -192x = -504 + 162 Combine like terms: -162 + 162 = 0 0 + -192x = -504 + 162 -192x = -504 + 162 Combine like terms: -504 + 162 = -342 -192x = -342 Divide each side by '-192'. x = 1.78125 Simplifying x = 1.78125
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