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Simplifying -6(x + 6) + 42 = 10 + -7x Reorder the terms: -6(6 + x) + 42 = 10 + -7x (6 * -6 + x * -6) + 42 = 10 + -7x (-36 + -6x) + 42 = 10 + -7x Reorder the terms: -36 + 42 + -6x = 10 + -7x Combine like terms: -36 + 42 = 6 6 + -6x = 10 + -7x Solving 6 + -6x = 10 + -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. 6 + -6x + 7x = 10 + -7x + 7x Combine like terms: -6x + 7x = 1x 6 + 1x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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