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Simplifying 6(4x + -1) + 2 = -7(2x + -1) Reorder the terms: 6(-1 + 4x) + 2 = -7(2x + -1) (-1 * 6 + 4x * 6) + 2 = -7(2x + -1) (-6 + 24x) + 2 = -7(2x + -1) Reorder the terms: -6 + 2 + 24x = -7(2x + -1) Combine like terms: -6 + 2 = -4 -4 + 24x = -7(2x + -1) Reorder the terms: -4 + 24x = -7(-1 + 2x) -4 + 24x = (-1 * -7 + 2x * -7) -4 + 24x = (7 + -14x) Solving -4 + 24x = 7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -4 + 24x + 14x = 7 + -14x + 14x Combine like terms: 24x + 14x = 38x -4 + 38x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 -4 + 38x = 7 + 0 -4 + 38x = 7 Add '4' to each side of the equation. -4 + 4 + 38x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 38x = 7 + 4 38x = 7 + 4 Combine like terms: 7 + 4 = 11 38x = 11 Divide each side by '38'. x = 0.2894736842 Simplifying x = 0.2894736842
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