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Simplifying 6 + -1(2 + -1x) * 6 + -1x = 3(4x + -1) + -4 Reorder the terms for easier multiplication: 6 + -1 * 6(2 + -1x) + -1x = 3(4x + -1) + -4 Multiply -1 * 6 6 + -6(2 + -1x) + -1x = 3(4x + -1) + -4 6 + (2 * -6 + -1x * -6) + -1x = 3(4x + -1) + -4 6 + (-12 + 6x) + -1x = 3(4x + -1) + -4 Combine like terms: 6 + -12 = -6 -6 + 6x + -1x = 3(4x + -1) + -4 Combine like terms: 6x + -1x = 5x -6 + 5x = 3(4x + -1) + -4 Reorder the terms: -6 + 5x = 3(-1 + 4x) + -4 -6 + 5x = (-1 * 3 + 4x * 3) + -4 -6 + 5x = (-3 + 12x) + -4 Reorder the terms: -6 + 5x = -3 + -4 + 12x Combine like terms: -3 + -4 = -7 -6 + 5x = -7 + 12x Solving -6 + 5x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 5x + -12x = -7 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = -7 + 0 -6 + -7x = -7 Add '6' to each side of the equation. -6 + 6 + -7x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -7 + 6 -7x = -7 + 6 Combine like terms: -7 + 6 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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