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Simplifying 28 + 6x = -5(-7x + 6) Reorder the terms: 28 + 6x = -5(6 + -7x) 28 + 6x = (6 * -5 + -7x * -5) 28 + 6x = (-30 + 35x) Solving 28 + 6x = -30 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 28 + 6x + -35x = -30 + 35x + -35x Combine like terms: 6x + -35x = -29x 28 + -29x = -30 + 35x + -35x Combine like terms: 35x + -35x = 0 28 + -29x = -30 + 0 28 + -29x = -30 Add '-28' to each side of the equation. 28 + -28 + -29x = -30 + -28 Combine like terms: 28 + -28 = 0 0 + -29x = -30 + -28 -29x = -30 + -28 Combine like terms: -30 + -28 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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