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Simplifying 8x + 9 = 5 + 3(2x + -1) + x Reorder the terms: 9 + 8x = 5 + 3(2x + -1) + x Reorder the terms: 9 + 8x = 5 + 3(-1 + 2x) + x 9 + 8x = 5 + (-1 * 3 + 2x * 3) + x 9 + 8x = 5 + (-3 + 6x) + x Combine like terms: 5 + -3 = 2 9 + 8x = 2 + 6x + x Combine like terms: 6x + x = 7x 9 + 8x = 2 + 7x Solving 9 + 8x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 8x + -7x = 2 + 7x + -7x Combine like terms: 8x + -7x = 1x 9 + 1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 1x = 2 + 0 9 + 1x = 2 Add '-9' to each side of the equation. 9 + -9 + 1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 2 + -9 1x = 2 + -9 Combine like terms: 2 + -9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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