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Simplifying -5(9 + -11x) + 8x + -10 = 9x + -12 (9 * -5 + -11x * -5) + 8x + -10 = 9x + -12 (-45 + 55x) + 8x + -10 = 9x + -12 Reorder the terms: -45 + -10 + 55x + 8x = 9x + -12 Combine like terms: -45 + -10 = -55 -55 + 55x + 8x = 9x + -12 Combine like terms: 55x + 8x = 63x -55 + 63x = 9x + -12 Reorder the terms: -55 + 63x = -12 + 9x Solving -55 + 63x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -55 + 63x + -9x = -12 + 9x + -9x Combine like terms: 63x + -9x = 54x -55 + 54x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -55 + 54x = -12 + 0 -55 + 54x = -12 Add '55' to each side of the equation. -55 + 55 + 54x = -12 + 55 Combine like terms: -55 + 55 = 0 0 + 54x = -12 + 55 54x = -12 + 55 Combine like terms: -12 + 55 = 43 54x = 43 Divide each side by '54'. x = 0.7962962963 Simplifying x = 0.7962962963
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