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Simplifying 6x + -5(2 + -1x) = 10x + -7 6x + (2 * -5 + -1x * -5) = 10x + -7 6x + (-10 + 5x) = 10x + -7 Reorder the terms: -10 + 6x + 5x = 10x + -7 Combine like terms: 6x + 5x = 11x -10 + 11x = 10x + -7 Reorder the terms: -10 + 11x = -7 + 10x Solving -10 + 11x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 11x + -10x = -7 + 10x + -10x Combine like terms: 11x + -10x = 1x -10 + 1x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 1x = -7 + 0 -10 + 1x = -7 Add '10' to each side of the equation. -10 + 10 + 1x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -7 + 10 1x = -7 + 10 Combine like terms: -7 + 10 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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