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Simplifying 3(4x + -2(2x + -7)) = 2(3x + -5) Reorder the terms: 3(4x + -2(-7 + 2x)) = 2(3x + -5) 3(4x + (-7 * -2 + 2x * -2)) = 2(3x + -5) 3(4x + (14 + -4x)) = 2(3x + -5) Reorder the terms: 3(14 + 4x + -4x) = 2(3x + -5) Combine like terms: 4x + -4x = 0 3(14 + 0) = 2(3x + -5) 3(14) = 2(3x + -5) Multiply 3 * 14 42 = 2(3x + -5) Reorder the terms: 42 = 2(-5 + 3x) 42 = (-5 * 2 + 3x * 2) 42 = (-10 + 6x) Solving 42 = -10 + 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. 42 + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = -10 + 0 42 + -6x = -10 Add '-42' to each side of the equation. 42 + -42 + -6x = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -10 + -42 -6x = -10 + -42 Combine like terms: -10 + -42 = -52 -6x = -52 Divide each side by '-6'. x = 8.666666667 Simplifying x = 8.666666667
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