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Simplifying 2 + -1(-5x + 7) + 2(3x + 2) = 10x Reorder the terms: 2 + -1(7 + -5x) + 2(3x + 2) = 10x 2 + (7 * -1 + -5x * -1) + 2(3x + 2) = 10x 2 + (-7 + 5x) + 2(3x + 2) = 10x Reorder the terms: 2 + -7 + 5x + 2(2 + 3x) = 10x 2 + -7 + 5x + (2 * 2 + 3x * 2) = 10x 2 + -7 + 5x + (4 + 6x) = 10x Reorder the terms: 2 + -7 + 4 + 5x + 6x = 10x Combine like terms: 2 + -7 = -5 -5 + 4 + 5x + 6x = 10x Combine like terms: -5 + 4 = -1 -1 + 5x + 6x = 10x Combine like terms: 5x + 6x = 11x -1 + 11x = 10x Solving -1 + 11x = 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. -1 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x -1 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 1x = 0 Add '1' to each side of the equation. -1 + 1 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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