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Simplifying 2x + -1(-5x + 7x) = 8x + (-3x + 7x) + -2x Combine like terms: -5x + 7x = 2x 2x + -1(2x) = 8x + (-3x + 7x) + -2x Remove parenthesis around (2x) 2x + -1 * 2x = 8x + (-3x + 7x) + -2x Multiply -1 * 2 2x + -2x = 8x + (-3x + 7x) + -2x Combine like terms: 2x + -2x = 0 0 = 8x + (-3x + 7x) + -2x Combine like terms: -3x + 7x = 4x 0 = 8x + (4x) + -2x 0 = 8x + (4x) + -2x Combine like terms: 8x + (4x) = 12x 0 = 12x + -2x Combine like terms: 12x + -2x = 10x 0 = 10x Solving 0 = 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. 0 + -10x = 10x + -10x Remove the zero: -10x = 10x + -10x Combine like terms: 10x + -10x = 0 -10x = 0 Divide each side by '-10'. x = 0 Simplifying x = 0
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