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Simplifying (8x + -29) + (6x + -11) = (3x + -1) Reorder the terms: (-29 + 8x) + (6x + -11) = (3x + -1) Remove parenthesis around (-29 + 8x) -29 + 8x + (6x + -11) = (3x + -1) Reorder the terms: -29 + 8x + (-11 + 6x) = (3x + -1) Remove parenthesis around (-11 + 6x) -29 + 8x + -11 + 6x = (3x + -1) Reorder the terms: -29 + -11 + 8x + 6x = (3x + -1) Combine like terms: -29 + -11 = -40 -40 + 8x + 6x = (3x + -1) Combine like terms: 8x + 6x = 14x -40 + 14x = (3x + -1) Reorder the terms: -40 + 14x = (-1 + 3x) Remove parenthesis around (-1 + 3x) -40 + 14x = -1 + 3x Solving -40 + 14x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 14x + -3x = -1 + 3x + -3x Combine like terms: 14x + -3x = 11x -40 + 11x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 11x = -1 + 0 -40 + 11x = -1 Add '40' to each side of the equation. -40 + 40 + 11x = -1 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = -1 + 40 11x = -1 + 40 Combine like terms: -1 + 40 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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