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Simplifying -10x + -45 = 2x + -16 + -22 Reorder the terms: -45 + -10x = 2x + -16 + -22 Reorder the terms: -45 + -10x = -16 + -22 + 2x Combine like terms: -16 + -22 = -38 -45 + -10x = -38 + 2x Solving -45 + -10x = -38 + 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. -45 + -10x + -2x = -38 + 2x + -2x Combine like terms: -10x + -2x = -12x -45 + -12x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -12x = -38 + 0 -45 + -12x = -38 Add '45' to each side of the equation. -45 + 45 + -12x = -38 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = -38 + 45 -12x = -38 + 45 Combine like terms: -38 + 45 = 7 -12x = 7 Divide each side by '-12'. x = -0.5833333333 Simplifying x = -0.5833333333
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