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Simplifying 6x + 29 = 13x + -41 Reorder the terms: 29 + 6x = 13x + -41 Reorder the terms: 29 + 6x = -41 + 13x Solving 29 + 6x = -41 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 29 + 6x + -13x = -41 + 13x + -13x Combine like terms: 6x + -13x = -7x 29 + -7x = -41 + 13x + -13x Combine like terms: 13x + -13x = 0 29 + -7x = -41 + 0 29 + -7x = -41 Add '-29' to each side of the equation. 29 + -29 + -7x = -41 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = -41 + -29 -7x = -41 + -29 Combine like terms: -41 + -29 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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