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