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Simplifying 3x + 75 = 4x + -1(34 + -2x) Reorder the terms: 75 + 3x = 4x + -1(34 + -2x) 75 + 3x = 4x + (34 * -1 + -2x * -1) 75 + 3x = 4x + (-34 + 2x) Reorder the terms: 75 + 3x = -34 + 4x + 2x Combine like terms: 4x + 2x = 6x 75 + 3x = -34 + 6x Solving 75 + 3x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 75 + 3x + -6x = -34 + 6x + -6x Combine like terms: 3x + -6x = -3x 75 + -3x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 75 + -3x = -34 + 0 75 + -3x = -34 Add '-75' to each side of the equation. 75 + -75 + -3x = -34 + -75 Combine like terms: 75 + -75 = 0 0 + -3x = -34 + -75 -3x = -34 + -75 Combine like terms: -34 + -75 = -109 -3x = -109 Divide each side by '-3'. x = 36.33333333 Simplifying x = 36.33333333
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