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Simplifying 3(14x + -37) = 4 + -3(x + 3) Reorder the terms: 3(-37 + 14x) = 4 + -3(x + 3) (-37 * 3 + 14x * 3) = 4 + -3(x + 3) (-111 + 42x) = 4 + -3(x + 3) Reorder the terms: -111 + 42x = 4 + -3(3 + x) -111 + 42x = 4 + (3 * -3 + x * -3) -111 + 42x = 4 + (-9 + -3x) Combine like terms: 4 + -9 = -5 -111 + 42x = -5 + -3x Solving -111 + 42x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -111 + 42x + 3x = -5 + -3x + 3x Combine like terms: 42x + 3x = 45x -111 + 45x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -111 + 45x = -5 + 0 -111 + 45x = -5 Add '111' to each side of the equation. -111 + 111 + 45x = -5 + 111 Combine like terms: -111 + 111 = 0 0 + 45x = -5 + 111 45x = -5 + 111 Combine like terms: -5 + 111 = 106 45x = 106 Divide each side by '45'. x = 2.355555556 Simplifying x = 2.355555556
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