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Simplifying 7 + -5(2 + -6x) = 3(3x + 6) 7 + (2 * -5 + -6x * -5) = 3(3x + 6) 7 + (-10 + 30x) = 3(3x + 6) Combine like terms: 7 + -10 = -3 -3 + 30x = 3(3x + 6) Reorder the terms: -3 + 30x = 3(6 + 3x) -3 + 30x = (6 * 3 + 3x * 3) -3 + 30x = (18 + 9x) Solving -3 + 30x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 30x + -9x = 18 + 9x + -9x Combine like terms: 30x + -9x = 21x -3 + 21x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + 21x = 18 + 0 -3 + 21x = 18 Add '3' to each side of the equation. -3 + 3 + 21x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 21x = 18 + 3 21x = 18 + 3 Combine like terms: 18 + 3 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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