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Simplifying 7(6x + -7) + 4(3x + -5) + -1(5x + 28) = 0 Reorder the terms: 7(-7 + 6x) + 4(3x + -5) + -1(5x + 28) = 0 (-7 * 7 + 6x * 7) + 4(3x + -5) + -1(5x + 28) = 0 (-49 + 42x) + 4(3x + -5) + -1(5x + 28) = 0 Reorder the terms: -49 + 42x + 4(-5 + 3x) + -1(5x + 28) = 0 -49 + 42x + (-5 * 4 + 3x * 4) + -1(5x + 28) = 0 -49 + 42x + (-20 + 12x) + -1(5x + 28) = 0 Reorder the terms: -49 + 42x + -20 + 12x + -1(28 + 5x) = 0 -49 + 42x + -20 + 12x + (28 * -1 + 5x * -1) = 0 -49 + 42x + -20 + 12x + (-28 + -5x) = 0 Reorder the terms: -49 + -20 + -28 + 42x + 12x + -5x = 0 Combine like terms: -49 + -20 = -69 -69 + -28 + 42x + 12x + -5x = 0 Combine like terms: -69 + -28 = -97 -97 + 42x + 12x + -5x = 0 Combine like terms: 42x + 12x = 54x -97 + 54x + -5x = 0 Combine like terms: 54x + -5x = 49x -97 + 49x = 0 Solving -97 + 49x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + 49x = 0 + 97 Combine like terms: -97 + 97 = 0 0 + 49x = 0 + 97 49x = 0 + 97 Combine like terms: 0 + 97 = 97 49x = 97 Divide each side by '49'. x = 1.979591837 Simplifying x = 1.979591837
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