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Simplifying 6x + -1(1 + 4x) = 9 + -1(x + -8) 6x + (1 * -1 + 4x * -1) = 9 + -1(x + -8) 6x + (-1 + -4x) = 9 + -1(x + -8) Reorder the terms: -1 + 6x + -4x = 9 + -1(x + -8) Combine like terms: 6x + -4x = 2x -1 + 2x = 9 + -1(x + -8) Reorder the terms: -1 + 2x = 9 + -1(-8 + x) -1 + 2x = 9 + (-8 * -1 + x * -1) -1 + 2x = 9 + (8 + -1x) Combine like terms: 9 + 8 = 17 -1 + 2x = 17 + -1x Solving -1 + 2x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 2x + x = 17 + -1x + x Combine like terms: 2x + x = 3x -1 + 3x = 17 + -1x + x Combine like terms: -1x + x = 0 -1 + 3x = 17 + 0 -1 + 3x = 17 Add '1' to each side of the equation. -1 + 1 + 3x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 17 + 1 3x = 17 + 1 Combine like terms: 17 + 1 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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