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Simplifying 5x + -3(x + -11) = 7(2x + -5) * 12 Reorder the terms: 5x + -3(-11 + x) = 7(2x + -5) * 12 5x + (-11 * -3 + x * -3) = 7(2x + -5) * 12 5x + (33 + -3x) = 7(2x + -5) * 12 Reorder the terms: 33 + 5x + -3x = 7(2x + -5) * 12 Combine like terms: 5x + -3x = 2x 33 + 2x = 7(2x + -5) * 12 Reorder the terms: 33 + 2x = 7(-5 + 2x) * 12 Reorder the terms for easier multiplication: 33 + 2x = 7 * 12(-5 + 2x) Multiply 7 * 12 33 + 2x = 84(-5 + 2x) 33 + 2x = (-5 * 84 + 2x * 84) 33 + 2x = (-420 + 168x) Solving 33 + 2x = -420 + 168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168x' to each side of the equation. 33 + 2x + -168x = -420 + 168x + -168x Combine like terms: 2x + -168x = -166x 33 + -166x = -420 + 168x + -168x Combine like terms: 168x + -168x = 0 33 + -166x = -420 + 0 33 + -166x = -420 Add '-33' to each side of the equation. 33 + -33 + -166x = -420 + -33 Combine like terms: 33 + -33 = 0 0 + -166x = -420 + -33 -166x = -420 + -33 Combine like terms: -420 + -33 = -453 -166x = -453 Divide each side by '-166'. x = 2.728915663 Simplifying x = 2.728915663
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