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Simplifying 3 + -2(6x + 1) = -1(4x + 7) + -2x Reorder the terms: 3 + -2(1 + 6x) = -1(4x + 7) + -2x 3 + (1 * -2 + 6x * -2) = -1(4x + 7) + -2x 3 + (-2 + -12x) = -1(4x + 7) + -2x Combine like terms: 3 + -2 = 1 1 + -12x = -1(4x + 7) + -2x Reorder the terms: 1 + -12x = -1(7 + 4x) + -2x 1 + -12x = (7 * -1 + 4x * -1) + -2x 1 + -12x = (-7 + -4x) + -2x Combine like terms: -4x + -2x = -6x 1 + -12x = -7 + -6x Solving 1 + -12x = -7 + -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. 1 + -12x + 6x = -7 + -6x + 6x Combine like terms: -12x + 6x = -6x 1 + -6x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + -6x = -7 + 0 1 + -6x = -7 Add '-1' to each side of the equation. 1 + -1 + -6x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -7 + -1 -6x = -7 + -1 Combine like terms: -7 + -1 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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