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Simplifying 35 + -1(x + -6) = 3x + 22 Reorder the terms: 35 + -1(-6 + x) = 3x + 22 35 + (-6 * -1 + x * -1) = 3x + 22 35 + (6 + -1x) = 3x + 22 Combine like terms: 35 + 6 = 41 41 + -1x = 3x + 22 Reorder the terms: 41 + -1x = 22 + 3x Solving 41 + -1x = 22 + 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. 41 + -1x + -3x = 22 + 3x + -3x Combine like terms: -1x + -3x = -4x 41 + -4x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -4x = 22 + 0 41 + -4x = 22 Add '-41' to each side of the equation. 41 + -41 + -4x = 22 + -41 Combine like terms: 41 + -41 = 0 0 + -4x = 22 + -41 -4x = 22 + -41 Combine like terms: 22 + -41 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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