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Simplifying 6 + -1(2x + -7) = -3(1 + -2x) Reorder the terms: 6 + -1(-7 + 2x) = -3(1 + -2x) 6 + (-7 * -1 + 2x * -1) = -3(1 + -2x) 6 + (7 + -2x) = -3(1 + -2x) Combine like terms: 6 + 7 = 13 13 + -2x = -3(1 + -2x) 13 + -2x = (1 * -3 + -2x * -3) 13 + -2x = (-3 + 6x) Solving 13 + -2x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -2x + -6x = -3 + 6x + -6x Combine like terms: -2x + -6x = -8x 13 + -8x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -8x = -3 + 0 13 + -8x = -3 Add '-13' to each side of the equation. 13 + -13 + -8x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -3 + -13 -8x = -3 + -13 Combine like terms: -3 + -13 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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