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Simplifying 4(3x + -5) + -3(2x + 7) = 14 + -2(3x + 4) Reorder the terms: 4(-5 + 3x) + -3(2x + 7) = 14 + -2(3x + 4) (-5 * 4 + 3x * 4) + -3(2x + 7) = 14 + -2(3x + 4) (-20 + 12x) + -3(2x + 7) = 14 + -2(3x + 4) Reorder the terms: -20 + 12x + -3(7 + 2x) = 14 + -2(3x + 4) -20 + 12x + (7 * -3 + 2x * -3) = 14 + -2(3x + 4) -20 + 12x + (-21 + -6x) = 14 + -2(3x + 4) Reorder the terms: -20 + -21 + 12x + -6x = 14 + -2(3x + 4) Combine like terms: -20 + -21 = -41 -41 + 12x + -6x = 14 + -2(3x + 4) Combine like terms: 12x + -6x = 6x -41 + 6x = 14 + -2(3x + 4) Reorder the terms: -41 + 6x = 14 + -2(4 + 3x) -41 + 6x = 14 + (4 * -2 + 3x * -2) -41 + 6x = 14 + (-8 + -6x) Combine like terms: 14 + -8 = 6 -41 + 6x = 6 + -6x Solving -41 + 6x = 6 + -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. -41 + 6x + 6x = 6 + -6x + 6x Combine like terms: 6x + 6x = 12x -41 + 12x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -41 + 12x = 6 + 0 -41 + 12x = 6 Add '41' to each side of the equation. -41 + 41 + 12x = 6 + 41 Combine like terms: -41 + 41 = 0 0 + 12x = 6 + 41 12x = 6 + 41 Combine like terms: 6 + 41 = 47 12x = 47 Divide each side by '12'. x = 3.916666667 Simplifying x = 3.916666667
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