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Simplifying 3x + 4 = 3 + -1(8x + -6) Reorder the terms: 4 + 3x = 3 + -1(8x + -6) Reorder the terms: 4 + 3x = 3 + -1(-6 + 8x) 4 + 3x = 3 + (-6 * -1 + 8x * -1) 4 + 3x = 3 + (6 + -8x) Combine like terms: 3 + 6 = 9 4 + 3x = 9 + -8x Solving 4 + 3x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 3x + 8x = 9 + -8x + 8x Combine like terms: 3x + 8x = 11x 4 + 11x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 11x = 9 + 0 4 + 11x = 9 Add '-4' to each side of the equation. 4 + -4 + 11x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 9 + -4 11x = 9 + -4 Combine like terms: 9 + -4 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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