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Simplifying -10 + x + 44 + -5 = 7x + -5 Reorder the terms: -10 + 44 + -5 + x = 7x + -5 Combine like terms: -10 + 44 = 34 34 + -5 + x = 7x + -5 Combine like terms: 34 + -5 = 29 29 + x = 7x + -5 Reorder the terms: 29 + x = -5 + 7x Solving 29 + x = -5 + 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. 29 + x + -7x = -5 + 7x + -7x Combine like terms: x + -7x = -6x 29 + -6x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -6x = -5 + 0 29 + -6x = -5 Add '-29' to each side of the equation. 29 + -29 + -6x = -5 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = -5 + -29 -6x = -5 + -29 Combine like terms: -5 + -29 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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