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Simplifying -2(6x + -1) + 7x = 4(x + 2) Reorder the terms: -2(-1 + 6x) + 7x = 4(x + 2) (-1 * -2 + 6x * -2) + 7x = 4(x + 2) (2 + -12x) + 7x = 4(x + 2) Combine like terms: -12x + 7x = -5x 2 + -5x = 4(x + 2) Reorder the terms: 2 + -5x = 4(2 + x) 2 + -5x = (2 * 4 + x * 4) 2 + -5x = (8 + 4x) Solving 2 + -5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -5x + -4x = 8 + 4x + -4x Combine like terms: -5x + -4x = -9x 2 + -9x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -9x = 8 + 0 2 + -9x = 8 Add '-2' to each side of the equation. 2 + -2 + -9x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 8 + -2 -9x = 8 + -2 Combine like terms: 8 + -2 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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