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Simplifying 5x + -6(6x + -6) = 50 + 2x Reorder the terms: 5x + -6(-6 + 6x) = 50 + 2x 5x + (-6 * -6 + 6x * -6) = 50 + 2x 5x + (36 + -36x) = 50 + 2x Reorder the terms: 36 + 5x + -36x = 50 + 2x Combine like terms: 5x + -36x = -31x 36 + -31x = 50 + 2x Solving 36 + -31x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + -31x + -2x = 50 + 2x + -2x Combine like terms: -31x + -2x = -33x 36 + -33x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -33x = 50 + 0 36 + -33x = 50 Add '-36' to each side of the equation. 36 + -36 + -33x = 50 + -36 Combine like terms: 36 + -36 = 0 0 + -33x = 50 + -36 -33x = 50 + -36 Combine like terms: 50 + -36 = 14 -33x = 14 Divide each side by '-33'. x = -0.4242424242 Simplifying x = -0.4242424242
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