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Simplifying 6(6x + -2) + 8(1 + -5x) = 2x Reorder the terms: 6(-2 + 6x) + 8(1 + -5x) = 2x (-2 * 6 + 6x * 6) + 8(1 + -5x) = 2x (-12 + 36x) + 8(1 + -5x) = 2x -12 + 36x + (1 * 8 + -5x * 8) = 2x -12 + 36x + (8 + -40x) = 2x Reorder the terms: -12 + 8 + 36x + -40x = 2x Combine like terms: -12 + 8 = -4 -4 + 36x + -40x = 2x Combine like terms: 36x + -40x = -4x -4 + -4x = 2x Solving -4 + -4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -4x + -2x = 2x + -2x Combine like terms: -4x + -2x = -6x -4 + -6x = 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -6x = 0 Add '4' to each side of the equation. -4 + 4 + -6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 0 + 4 -6x = 0 + 4 Combine like terms: 0 + 4 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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