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Simplifying 10x + -1(4x + -10) = 1 + 5x Reorder the terms: 10x + -1(-10 + 4x) = 1 + 5x 10x + (-10 * -1 + 4x * -1) = 1 + 5x 10x + (10 + -4x) = 1 + 5x Reorder the terms: 10 + 10x + -4x = 1 + 5x Combine like terms: 10x + -4x = 6x 10 + 6x = 1 + 5x Solving 10 + 6x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 6x + -5x = 1 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 1 + 0 10 + 1x = 1 Add '-10' to each side of the equation. 10 + -10 + 1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 1 + -10 1x = 1 + -10 Combine like terms: 1 + -10 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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