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Simplifying -4x + -1[3(1 + 6x) + 6] = -4(7x + 5) + 4x -4x + -1[(1 * 3 + 6x * 3) + 6] = -4(7x + 5) + 4x -4x + -1[(3 + 18x) + 6] = -4(7x + 5) + 4x Reorder the terms: -4x + -1[3 + 6 + 18x] = -4(7x + 5) + 4x Combine like terms: 3 + 6 = 9 -4x + -1[9 + 18x] = -4(7x + 5) + 4x -4x + [9 * -1 + 18x * -1] = -4(7x + 5) + 4x -4x + [-9 + -18x] = -4(7x + 5) + 4x Reorder the terms: -9 + -4x + -18x = -4(7x + 5) + 4x Combine like terms: -4x + -18x = -22x -9 + -22x = -4(7x + 5) + 4x Reorder the terms: -9 + -22x = -4(5 + 7x) + 4x -9 + -22x = (5 * -4 + 7x * -4) + 4x -9 + -22x = (-20 + -28x) + 4x Combine like terms: -28x + 4x = -24x -9 + -22x = -20 + -24x Solving -9 + -22x = -20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + -22x + 24x = -20 + -24x + 24x Combine like terms: -22x + 24x = 2x -9 + 2x = -20 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 2x = -20 + 0 -9 + 2x = -20 Add '9' to each side of the equation. -9 + 9 + 2x = -20 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -20 + 9 2x = -20 + 9 Combine like terms: -20 + 9 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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