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Simplifying -1(1 + -8x) + 7 = -6x + 4(4x + 4) (1 * -1 + -8x * -1) + 7 = -6x + 4(4x + 4) (-1 + 8x) + 7 = -6x + 4(4x + 4) Reorder the terms: -1 + 7 + 8x = -6x + 4(4x + 4) Combine like terms: -1 + 7 = 6 6 + 8x = -6x + 4(4x + 4) Reorder the terms: 6 + 8x = -6x + 4(4 + 4x) 6 + 8x = -6x + (4 * 4 + 4x * 4) 6 + 8x = -6x + (16 + 16x) Reorder the terms: 6 + 8x = 16 + -6x + 16x Combine like terms: -6x + 16x = 10x 6 + 8x = 16 + 10x Solving 6 + 8x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 8x + -10x = 16 + 10x + -10x Combine like terms: 8x + -10x = -2x 6 + -2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -2x = 16 + 0 6 + -2x = 16 Add '-6' to each side of the equation. 6 + -6 + -2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 16 + -6 -2x = 16 + -6 Combine like terms: 16 + -6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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