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Simplifying -3x + 8 = 5 + -1(9x + 4) Reorder the terms: 8 + -3x = 5 + -1(9x + 4) Reorder the terms: 8 + -3x = 5 + -1(4 + 9x) 8 + -3x = 5 + (4 * -1 + 9x * -1) 8 + -3x = 5 + (-4 + -9x) Combine like terms: 5 + -4 = 1 8 + -3x = 1 + -9x Solving 8 + -3x = 1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + -3x + 9x = 1 + -9x + 9x Combine like terms: -3x + 9x = 6x 8 + 6x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 6x = 1 + 0 8 + 6x = 1 Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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