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Simplifying 6(3x + 7) = 6(5x + -17) Reorder the terms: 6(7 + 3x) = 6(5x + -17) (7 * 6 + 3x * 6) = 6(5x + -17) (42 + 18x) = 6(5x + -17) Reorder the terms: 42 + 18x = 6(-17 + 5x) 42 + 18x = (-17 * 6 + 5x * 6) 42 + 18x = (-102 + 30x) Solving 42 + 18x = -102 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 42 + 18x + -30x = -102 + 30x + -30x Combine like terms: 18x + -30x = -12x 42 + -12x = -102 + 30x + -30x Combine like terms: 30x + -30x = 0 42 + -12x = -102 + 0 42 + -12x = -102 Add '-42' to each side of the equation. 42 + -42 + -12x = -102 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = -102 + -42 -12x = -102 + -42 Combine like terms: -102 + -42 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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