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Simplifying 3x + 4 = 8 + -1(6x + -9) Reorder the terms: 4 + 3x = 8 + -1(6x + -9) Reorder the terms: 4 + 3x = 8 + -1(-9 + 6x) 4 + 3x = 8 + (-9 * -1 + 6x * -1) 4 + 3x = 8 + (9 + -6x) Combine like terms: 8 + 9 = 17 4 + 3x = 17 + -6x Solving 4 + 3x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 3x + 6x = 17 + -6x + 6x Combine like terms: 3x + 6x = 9x 4 + 9x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 9x = 17 + 0 4 + 9x = 17 Add '-4' to each side of the equation. 4 + -4 + 9x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 17 + -4 9x = 17 + -4 Combine like terms: 17 + -4 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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