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Simplifying 8x + 4 = 9 + 1(2x + -1) Reorder the terms: 4 + 8x = 9 + 1(2x + -1) Reorder the terms: 4 + 8x = 9 + 1(-1 + 2x) 4 + 8x = 9 + (-1 * 1 + 2x * 1) 4 + 8x = 9 + (-1 + 2x) Combine like terms: 9 + -1 = 8 4 + 8x = 8 + 2x Solving 4 + 8x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 8x + -2x = 8 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = 8 + 0 4 + 6x = 8 Add '-4' to each side of the equation. 4 + -4 + 6x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 8 + -4 6x = 8 + -4 Combine like terms: 8 + -4 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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