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Simplifying 6(x + 7) + -5x = 40 Reorder the terms: 6(7 + x) + -5x = 40 (7 * 6 + x * 6) + -5x = 40 (42 + 6x) + -5x = 40 Combine like terms: 6x + -5x = 1x 42 + 1x = 40 Solving 42 + 1x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1x = 40 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 40 + -42 1x = 40 + -42 Combine like terms: 40 + -42 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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