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Simplifying 3[x + -4(x + 5) + -2] = -12 Reorder the terms: 3[x + -4(5 + x) + -2] = -12 3[x + (5 * -4 + x * -4) + -2] = -12 3[x + (-20 + -4x) + -2] = -12 Reorder the terms: 3[-20 + -2 + x + -4x] = -12 Combine like terms: -20 + -2 = -22 3[-22 + x + -4x] = -12 Combine like terms: x + -4x = -3x 3[-22 + -3x] = -12 [-22 * 3 + -3x * 3] = -12 [-66 + -9x] = -12 Solving -66 + -9x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -9x = -12 + 66 Combine like terms: -66 + 66 = 0 0 + -9x = -12 + 66 -9x = -12 + 66 Combine like terms: -12 + 66 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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