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Simplifying 6(6x + -2) + 2x = -8(1 + -5x) Reorder the terms: 6(-2 + 6x) + 2x = -8(1 + -5x) (-2 * 6 + 6x * 6) + 2x = -8(1 + -5x) (-12 + 36x) + 2x = -8(1 + -5x) Combine like terms: 36x + 2x = 38x -12 + 38x = -8(1 + -5x) -12 + 38x = (1 * -8 + -5x * -8) -12 + 38x = (-8 + 40x) Solving -12 + 38x = -8 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -12 + 38x + -40x = -8 + 40x + -40x Combine like terms: 38x + -40x = -2x -12 + -2x = -8 + 40x + -40x Combine like terms: 40x + -40x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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