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Simplifying 3[x + -4(x + -2)] + -6 = -4x + -7 Reorder the terms: 3[x + -4(-2 + x)] + -6 = -4x + -7 3[x + (-2 * -4 + x * -4)] + -6 = -4x + -7 3[x + (8 + -4x)] + -6 = -4x + -7 Reorder the terms: 3[8 + x + -4x] + -6 = -4x + -7 Combine like terms: x + -4x = -3x 3[8 + -3x] + -6 = -4x + -7 [8 * 3 + -3x * 3] + -6 = -4x + -7 [24 + -9x] + -6 = -4x + -7 Reorder the terms: 24 + -6 + -9x = -4x + -7 Combine like terms: 24 + -6 = 18 18 + -9x = -4x + -7 Reorder the terms: 18 + -9x = -7 + -4x Solving 18 + -9x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -9x + 4x = -7 + -4x + 4x Combine like terms: -9x + 4x = -5x 18 + -5x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -5x = -7 + 0 18 + -5x = -7 Add '-18' to each side of the equation. 18 + -18 + -5x = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -7 + -18 -5x = -7 + -18 Combine like terms: -7 + -18 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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