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Simplifying 6(1 + -1x) = 3(x + 5) (1 * 6 + -1x * 6) = 3(x + 5) (6 + -6x) = 3(x + 5) Reorder the terms: 6 + -6x = 3(5 + x) 6 + -6x = (5 * 3 + x * 3) 6 + -6x = (15 + 3x) Solving 6 + -6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -6x + -3x = 15 + 3x + -3x Combine like terms: -6x + -3x = -9x 6 + -9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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