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Simplifying 6x + 35 = 15x + -38 Reorder the terms: 35 + 6x = 15x + -38 Reorder the terms: 35 + 6x = -38 + 15x Solving 35 + 6x = -38 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 35 + 6x + -15x = -38 + 15x + -15x Combine like terms: 6x + -15x = -9x 35 + -9x = -38 + 15x + -15x Combine like terms: 15x + -15x = 0 35 + -9x = -38 + 0 35 + -9x = -38 Add '-35' to each side of the equation. 35 + -35 + -9x = -38 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -38 + -35 -9x = -38 + -35 Combine like terms: -38 + -35 = -73 -9x = -73 Divide each side by '-9'. x = 8.111111111 Simplifying x = 8.111111111
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