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Simplifying 5 + -1(2x + -7) = 6x + -1(7 + -3x) Reorder the terms: 5 + -1(-7 + 2x) = 6x + -1(7 + -3x) 5 + (-7 * -1 + 2x * -1) = 6x + -1(7 + -3x) 5 + (7 + -2x) = 6x + -1(7 + -3x) Combine like terms: 5 + 7 = 12 12 + -2x = 6x + -1(7 + -3x) 12 + -2x = 6x + (7 * -1 + -3x * -1) 12 + -2x = 6x + (-7 + 3x) Reorder the terms: 12 + -2x = -7 + 6x + 3x Combine like terms: 6x + 3x = 9x 12 + -2x = -7 + 9x Solving 12 + -2x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -2x + -9x = -7 + 9x + -9x Combine like terms: -2x + -9x = -11x 12 + -11x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -11x = -7 + 0 12 + -11x = -7 Add '-12' to each side of the equation. 12 + -12 + -11x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -7 + -12 -11x = -7 + -12 Combine like terms: -7 + -12 = -19 -11x = -19 Divide each side by '-11'. x = 1.727272727 Simplifying x = 1.727272727
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