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Simplifying 9(x + -6) + -8 = 20x + -150 Reorder the terms: 9(-6 + x) + -8 = 20x + -150 (-6 * 9 + x * 9) + -8 = 20x + -150 (-54 + 9x) + -8 = 20x + -150 Reorder the terms: -54 + -8 + 9x = 20x + -150 Combine like terms: -54 + -8 = -62 -62 + 9x = 20x + -150 Reorder the terms: -62 + 9x = -150 + 20x Solving -62 + 9x = -150 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -62 + 9x + -20x = -150 + 20x + -20x Combine like terms: 9x + -20x = -11x -62 + -11x = -150 + 20x + -20x Combine like terms: 20x + -20x = 0 -62 + -11x = -150 + 0 -62 + -11x = -150 Add '62' to each side of the equation. -62 + 62 + -11x = -150 + 62 Combine like terms: -62 + 62 = 0 0 + -11x = -150 + 62 -11x = -150 + 62 Combine like terms: -150 + 62 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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