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Simplifying 10x + -1(3x + -10) = 6 + 6x Reorder the terms: 10x + -1(-10 + 3x) = 6 + 6x 10x + (-10 * -1 + 3x * -1) = 6 + 6x 10x + (10 + -3x) = 6 + 6x Reorder the terms: 10 + 10x + -3x = 6 + 6x Combine like terms: 10x + -3x = 7x 10 + 7x = 6 + 6x Solving 10 + 7x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 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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