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Simplifying -10x + (-8) = 2x + -1(-100) -10x + -8 = 2x + -1(-100) Reorder the terms: -8 + -10x = 2x + -1(-100) Multiply -1 * -100 -8 + -10x = 2x + 100 Reorder the terms: -8 + -10x = 100 + 2x Solving -8 + -10x = 100 + 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. -8 + -10x + -2x = 100 + 2x + -2x Combine like terms: -10x + -2x = -12x -8 + -12x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -12x = 100 + 0 -8 + -12x = 100 Add '8' to each side of the equation. -8 + 8 + -12x = 100 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 100 + 8 -12x = 100 + 8 Combine like terms: 100 + 8 = 108 -12x = 108 Divide each side by '-12'. x = -9 Simplifying x = -9
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