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Simplifying 11x + -3(x + 11 + -4x) = 5(17 + -6x) + 132 Reorder the terms: 11x + -3(11 + x + -4x) = 5(17 + -6x) + 132 Combine like terms: x + -4x = -3x 11x + -3(11 + -3x) = 5(17 + -6x) + 132 11x + (11 * -3 + -3x * -3) = 5(17 + -6x) + 132 11x + (-33 + 9x) = 5(17 + -6x) + 132 Reorder the terms: -33 + 11x + 9x = 5(17 + -6x) + 132 Combine like terms: 11x + 9x = 20x -33 + 20x = 5(17 + -6x) + 132 -33 + 20x = (17 * 5 + -6x * 5) + 132 -33 + 20x = (85 + -30x) + 132 Reorder the terms: -33 + 20x = 85 + 132 + -30x Combine like terms: 85 + 132 = 217 -33 + 20x = 217 + -30x Solving -33 + 20x = 217 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -33 + 20x + 30x = 217 + -30x + 30x Combine like terms: 20x + 30x = 50x -33 + 50x = 217 + -30x + 30x Combine like terms: -30x + 30x = 0 -33 + 50x = 217 + 0 -33 + 50x = 217 Add '33' to each side of the equation. -33 + 33 + 50x = 217 + 33 Combine like terms: -33 + 33 = 0 0 + 50x = 217 + 33 50x = 217 + 33 Combine like terms: 217 + 33 = 250 50x = 250 Divide each side by '50'. x = 5 Simplifying x = 5
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