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Simplifying 6(x + 6) + -1(x + -6) = 4 Reorder the terms: 6(6 + x) + -1(x + -6) = 4 (6 * 6 + x * 6) + -1(x + -6) = 4 (36 + 6x) + -1(x + -6) = 4 Reorder the terms: 36 + 6x + -1(-6 + x) = 4 36 + 6x + (-6 * -1 + x * -1) = 4 36 + 6x + (6 + -1x) = 4 Reorder the terms: 36 + 6 + 6x + -1x = 4 Combine like terms: 36 + 6 = 42 42 + 6x + -1x = 4 Combine like terms: 6x + -1x = 5x 42 + 5x = 4 Solving 42 + 5x = 4 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 = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 4 + -42 5x = 4 + -42 Combine like terms: 4 + -42 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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