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Simplifying 7 + 2(3x + -5) = 8 + -3(2x + -1) Reorder the terms: 7 + 2(-5 + 3x) = 8 + -3(2x + -1) 7 + (-5 * 2 + 3x * 2) = 8 + -3(2x + -1) 7 + (-10 + 6x) = 8 + -3(2x + -1) Combine like terms: 7 + -10 = -3 -3 + 6x = 8 + -3(2x + -1) Reorder the terms: -3 + 6x = 8 + -3(-1 + 2x) -3 + 6x = 8 + (-1 * -3 + 2x * -3) -3 + 6x = 8 + (3 + -6x) Combine like terms: 8 + 3 = 11 -3 + 6x = 11 + -6x Solving -3 + 6x = 11 + -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. -3 + 6x + 6x = 11 + -6x + 6x Combine like terms: 6x + 6x = 12x -3 + 12x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 12x = 11 + 0 -3 + 12x = 11 Add '3' to each side of the equation. -3 + 3 + 12x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 11 + 3 12x = 11 + 3 Combine like terms: 11 + 3 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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