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Simplifying 10(x + -1) = -2x + 122 Reorder the terms: 10(-1 + x) = -2x + 122 (-1 * 10 + x * 10) = -2x + 122 (-10 + 10x) = -2x + 122 Reorder the terms: -10 + 10x = 122 + -2x Solving -10 + 10x = 122 + -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. -10 + 10x + 2x = 122 + -2x + 2x Combine like terms: 10x + 2x = 12x -10 + 12x = 122 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 12x = 122 + 0 -10 + 12x = 122 Add '10' to each side of the equation. -10 + 10 + 12x = 122 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 122 + 10 12x = 122 + 10 Combine like terms: 122 + 10 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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