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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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