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Simplifying -3[x + 4(x + 1)] = x + 20 Reorder the terms: -3[x + 4(1 + x)] = x + 20 -3[x + (1 * 4 + x * 4)] = x + 20 -3[x + (4 + 4x)] = x + 20 Reorder the terms: -3[4 + x + 4x] = x + 20 Combine like terms: x + 4x = 5x -3[4 + 5x] = x + 20 [4 * -3 + 5x * -3] = x + 20 [-12 + -15x] = x + 20 Reorder the terms: -12 + -15x = 20 + x Solving -12 + -15x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -15x + -1x = 20 + x + -1x Combine like terms: -15x + -1x = -16x -12 + -16x = 20 + x + -1x Combine like terms: x + -1x = 0 -12 + -16x = 20 + 0 -12 + -16x = 20 Add '12' to each side of the equation. -12 + 12 + -16x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 20 + 12 -16x = 20 + 12 Combine like terms: 20 + 12 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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