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Simplifying 4x + -1(-1 + -4x) = -9(-7x + 6) 4x + (-1 * -1 + -4x * -1) = -9(-7x + 6) 4x + (1 + 4x) = -9(-7x + 6) Reorder the terms: 1 + 4x + 4x = -9(-7x + 6) Combine like terms: 4x + 4x = 8x 1 + 8x = -9(-7x + 6) Reorder the terms: 1 + 8x = -9(6 + -7x) 1 + 8x = (6 * -9 + -7x * -9) 1 + 8x = (-54 + 63x) Solving 1 + 8x = -54 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 1 + 8x + -63x = -54 + 63x + -63x Combine like terms: 8x + -63x = -55x 1 + -55x = -54 + 63x + -63x Combine like terms: 63x + -63x = 0 1 + -55x = -54 + 0 1 + -55x = -54 Add '-1' to each side of the equation. 1 + -1 + -55x = -54 + -1 Combine like terms: 1 + -1 = 0 0 + -55x = -54 + -1 -55x = -54 + -1 Combine like terms: -54 + -1 = -55 -55x = -55 Divide each side by '-55'. x = 1 Simplifying x = 1
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