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Simplifying 6 + -9x = 7x + -9 + -29 Reorder the terms: 6 + -9x = -9 + -29 + 7x Combine like terms: -9 + -29 = -38 6 + -9x = -38 + 7x Solving 6 + -9x = -38 + 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. 6 + -9x + -7x = -38 + 7x + -7x Combine like terms: -9x + -7x = -16x 6 + -16x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -16x = -38 + 0 6 + -16x = -38 Add '-6' to each side of the equation. 6 + -6 + -16x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -38 + -6 -16x = -38 + -6 Combine like terms: -38 + -6 = -44 -16x = -44 Divide each side by '-16'. x = 2.75 Simplifying x = 2.75
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