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Simplifying 3(10x + 7) = 3(4x + 3) Reorder the terms: 3(7 + 10x) = 3(4x + 3) (7 * 3 + 10x * 3) = 3(4x + 3) (21 + 30x) = 3(4x + 3) Reorder the terms: 21 + 30x = 3(3 + 4x) 21 + 30x = (3 * 3 + 4x * 3) 21 + 30x = (9 + 12x) Solving 21 + 30x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 30x + -12x = 9 + 12x + -12x Combine like terms: 30x + -12x = 18x 21 + 18x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + 18x = 9 + 0 21 + 18x = 9 Add '-21' to each side of the equation. 21 + -21 + 18x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 18x = 9 + -21 18x = 9 + -21 Combine like terms: 9 + -21 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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