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Simplifying 12(6x + -4) + 9x + -360 = 2x + -342 Reorder the terms: 12(-4 + 6x) + 9x + -360 = 2x + -342 (-4 * 12 + 6x * 12) + 9x + -360 = 2x + -342 (-48 + 72x) + 9x + -360 = 2x + -342 Reorder the terms: -48 + -360 + 72x + 9x = 2x + -342 Combine like terms: -48 + -360 = -408 -408 + 72x + 9x = 2x + -342 Combine like terms: 72x + 9x = 81x -408 + 81x = 2x + -342 Reorder the terms: -408 + 81x = -342 + 2x Solving -408 + 81x = -342 + 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. -408 + 81x + -2x = -342 + 2x + -2x Combine like terms: 81x + -2x = 79x -408 + 79x = -342 + 2x + -2x Combine like terms: 2x + -2x = 0 -408 + 79x = -342 + 0 -408 + 79x = -342 Add '408' to each side of the equation. -408 + 408 + 79x = -342 + 408 Combine like terms: -408 + 408 = 0 0 + 79x = -342 + 408 79x = -342 + 408 Combine like terms: -342 + 408 = 66 79x = 66 Divide each side by '79'. x = 0.835443038 Simplifying x = 0.835443038
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