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Simplifying -55x + 42 = 2[9 + -4(8x + -3)] Reorder the terms: 42 + -55x = 2[9 + -4(8x + -3)] Reorder the terms: 42 + -55x = 2[9 + -4(-3 + 8x)] 42 + -55x = 2[9 + (-3 * -4 + 8x * -4)] 42 + -55x = 2[9 + (12 + -32x)] Combine like terms: 9 + 12 = 21 42 + -55x = 2[21 + -32x] 42 + -55x = [21 * 2 + -32x * 2] 42 + -55x = [42 + -64x] Add '-42' to each side of the equation. 42 + -42 + -55x = 42 + -42 + -64x Combine like terms: 42 + -42 = 0 0 + -55x = 42 + -42 + -64x -55x = 42 + -42 + -64x Combine like terms: 42 + -42 = 0 -55x = 0 + -64x -55x = -64x Solving -55x = -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -55x + 64x = -64x + 64x Combine like terms: -55x + 64x = 9x 9x = -64x + 64x Combine like terms: -64x + 64x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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