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Simplifying -1x + 45 = -8x + 29 Reorder the terms: 45 + -1x = -8x + 29 Reorder the terms: 45 + -1x = 29 + -8x Solving 45 + -1x = 29 + -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. 45 + -1x + 8x = 29 + -8x + 8x Combine like terms: -1x + 8x = 7x 45 + 7x = 29 + -8x + 8x Combine like terms: -8x + 8x = 0 45 + 7x = 29 + 0 45 + 7x = 29 Add '-45' to each side of the equation. 45 + -45 + 7x = 29 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 29 + -45 7x = 29 + -45 Combine like terms: 29 + -45 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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