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Simplifying 75 + -6x = (22 + -2x) + 30 Remove parenthesis around (22 + -2x) 75 + -6x = 22 + -2x + 30 Reorder the terms: 75 + -6x = 22 + 30 + -2x Combine like terms: 22 + 30 = 52 75 + -6x = 52 + -2x Solving 75 + -6x = 52 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 75 + -6x + 2x = 52 + -2x + 2x Combine like terms: -6x + 2x = -4x 75 + -4x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 75 + -4x = 52 + 0 75 + -4x = 52 Add '-75' to each side of the equation. 75 + -75 + -4x = 52 + -75 Combine like terms: 75 + -75 = 0 0 + -4x = 52 + -75 -4x = 52 + -75 Combine like terms: 52 + -75 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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