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Simplifying 6(-6x + 7) + -6x = -28 + -7x Reorder the terms: 6(7 + -6x) + -6x = -28 + -7x (7 * 6 + -6x * 6) + -6x = -28 + -7x (42 + -36x) + -6x = -28 + -7x Combine like terms: -36x + -6x = -42x 42 + -42x = -28 + -7x Solving 42 + -42x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + -42x + 7x = -28 + -7x + 7x Combine like terms: -42x + 7x = -35x 42 + -35x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + -35x = -28 + 0 42 + -35x = -28 Add '-42' to each side of the equation. 42 + -42 + -35x = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -35x = -28 + -42 -35x = -28 + -42 Combine like terms: -28 + -42 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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