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Simplifying 6(7 + -1x) + x = 46 + -6 (7 * 6 + -1x * 6) + x = 46 + -6 (42 + -6x) + x = 46 + -6 Combine like terms: -6x + x = -5x 42 + -5x = 46 + -6 Combine like terms: 46 + -6 = 40 42 + -5x = 40 Solving 42 + -5x = 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 + -5x = 40 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 40 + -42 -5x = 40 + -42 Combine like terms: 40 + -42 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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