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Simplifying 3x + 5(5x + -7x) = 12 + -1x Combine like terms: 5x + -7x = -2x 3x + 5(-2x) = 12 + -1x Remove parenthesis around (-2x) 3x + 5 * -2x = 12 + -1x Multiply 5 * -2 3x + -10x = 12 + -1x Combine like terms: 3x + -10x = -7x -7x = 12 + -1x Solving -7x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7x + x = 12 + -1x + x Combine like terms: -7x + x = -6x -6x = 12 + -1x + x Combine like terms: -1x + x = 0 -6x = 12 + 0 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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