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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 + x + 6x) Combine like terms: -21 + -7 = -28 -12 + 3x = 5(-28 + x + 6x) Combine like terms: x + 6x = 7x -12 + 3x = 5(-28 + 7x) -12 + 3x = (-28 * 5 + 7x * 5) -12 + 3x = (-140 + 35x) Solving -12 + 3x = -140 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -12 + 3x + -35x = -140 + 35x + -35x Combine like terms: 3x + -35x = -32x -12 + -32x = -140 + 35x + -35x Combine like terms: 35x + -35x = 0 -12 + -32x = -140 + 0 -12 + -32x = -140 Add '12' to each side of the equation. -12 + 12 + -32x = -140 + 12 Combine like terms: -12 + 12 = 0 0 + -32x = -140 + 12 -32x = -140 + 12 Combine like terms: -140 + 12 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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