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Simplifying 3 + 2(3x + -5) = 7 + -3(2x + 1) Reorder the terms: 3 + 2(-5 + 3x) = 7 + -3(2x + 1) 3 + (-5 * 2 + 3x * 2) = 7 + -3(2x + 1) 3 + (-10 + 6x) = 7 + -3(2x + 1) Combine like terms: 3 + -10 = -7 -7 + 6x = 7 + -3(2x + 1) Reorder the terms: -7 + 6x = 7 + -3(1 + 2x) -7 + 6x = 7 + (1 * -3 + 2x * -3) -7 + 6x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -7 + 6x = 4 + -6x Solving -7 + 6x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 6x + 6x = 4 + -6x + 6x Combine like terms: 6x + 6x = 12x -7 + 12x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 12x = 4 + 0 -7 + 12x = 4 Add '7' to each side of the equation. -7 + 7 + 12x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 4 + 7 12x = 4 + 7 Combine like terms: 4 + 7 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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