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Simplifying 6(x + 7) = -7x + -23 Reorder the terms: 6(7 + x) = -7x + -23 (7 * 6 + x * 6) = -7x + -23 (42 + 6x) = -7x + -23 Reorder the terms: 42 + 6x = -23 + -7x Solving 42 + 6x = -23 + -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 + 6x + 7x = -23 + -7x + 7x Combine like terms: 6x + 7x = 13x 42 + 13x = -23 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 13x = -23 + 0 42 + 13x = -23 Add '-42' to each side of the equation. 42 + -42 + 13x = -23 + -42 Combine like terms: 42 + -42 = 0 0 + 13x = -23 + -42 13x = -23 + -42 Combine like terms: -23 + -42 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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