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Simplifying 3x + -12 = 5(x + -3(7 + -2X) + -7) Reorder the terms: -12 + 3x = 5(x + -3(7 + -2X) + -7) -12 + 3x = 5(x + (7 * -3 + -2X * -3) + -7) -12 + 3x = 5(x + (-21 + 6X) + -7) Reorder the terms: -12 + 3x = 5(-21 + -7 + 6X + x) Combine like terms: -21 + -7 = -28 -12 + 3x = 5(-28 + 6X + x) -12 + 3x = (-28 * 5 + 6X * 5 + x * 5) -12 + 3x = (-140 + 30X + 5x) Solving -12 + 3x = -140 + 30X + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 3x + -5x = -140 + 30X + 5x + -5x Combine like terms: 3x + -5x = -2x -12 + -2x = -140 + 30X + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -2x = -140 + 30X + 0 -12 + -2x = -140 + 30X Add '12' to each side of the equation. -12 + 12 + -2x = -140 + 12 + 30X Combine like terms: -12 + 12 = 0 0 + -2x = -140 + 12 + 30X -2x = -140 + 12 + 30X Combine like terms: -140 + 12 = -128 -2x = -128 + 30X Divide each side by '-2'. x = 64 + -15X Simplifying x = 64 + -15X
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