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Simplifying 5(3x + -6) = -2(6 + -1x) + -8x Reorder the terms: 5(-6 + 3x) = -2(6 + -1x) + -8x (-6 * 5 + 3x * 5) = -2(6 + -1x) + -8x (-30 + 15x) = -2(6 + -1x) + -8x -30 + 15x = (6 * -2 + -1x * -2) + -8x -30 + 15x = (-12 + 2x) + -8x Combine like terms: 2x + -8x = -6x -30 + 15x = -12 + -6x Solving -30 + 15x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 15x + 6x = -12 + -6x + 6x Combine like terms: 15x + 6x = 21x -30 + 21x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 21x = -12 + 0 -30 + 21x = -12 Add '30' to each side of the equation. -30 + 30 + 21x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 21x = -12 + 30 21x = -12 + 30 Combine like terms: -12 + 30 = 18 21x = 18 Divide each side by '21'. x = 0.8571428571 Simplifying x = 0.8571428571
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