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Simplifying 5(-11x + -9) + -4 = 12(x + -10) + 6 Reorder the terms: 5(-9 + -11x) + -4 = 12(x + -10) + 6 (-9 * 5 + -11x * 5) + -4 = 12(x + -10) + 6 (-45 + -55x) + -4 = 12(x + -10) + 6 Reorder the terms: -45 + -4 + -55x = 12(x + -10) + 6 Combine like terms: -45 + -4 = -49 -49 + -55x = 12(x + -10) + 6 Reorder the terms: -49 + -55x = 12(-10 + x) + 6 -49 + -55x = (-10 * 12 + x * 12) + 6 -49 + -55x = (-120 + 12x) + 6 Reorder the terms: -49 + -55x = -120 + 6 + 12x Combine like terms: -120 + 6 = -114 -49 + -55x = -114 + 12x Solving -49 + -55x = -114 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -49 + -55x + -12x = -114 + 12x + -12x Combine like terms: -55x + -12x = -67x -49 + -67x = -114 + 12x + -12x Combine like terms: 12x + -12x = 0 -49 + -67x = -114 + 0 -49 + -67x = -114 Add '49' to each side of the equation. -49 + 49 + -67x = -114 + 49 Combine like terms: -49 + 49 = 0 0 + -67x = -114 + 49 -67x = -114 + 49 Combine like terms: -114 + 49 = -65 -67x = -65 Divide each side by '-67'. x = 0.9701492537 Simplifying x = 0.9701492537
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