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Simplifying 7(3x + -3) + -5(3x + 4) = 0 Reorder the terms: 7(-3 + 3x) + -5(3x + 4) = 0 (-3 * 7 + 3x * 7) + -5(3x + 4) = 0 (-21 + 21x) + -5(3x + 4) = 0 Reorder the terms: -21 + 21x + -5(4 + 3x) = 0 -21 + 21x + (4 * -5 + 3x * -5) = 0 -21 + 21x + (-20 + -15x) = 0 Reorder the terms: -21 + -20 + 21x + -15x = 0 Combine like terms: -21 + -20 = -41 -41 + 21x + -15x = 0 Combine like terms: 21x + -15x = 6x -41 + 6x = 0 Solving -41 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 6x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 6x = 0 + 41 6x = 0 + 41 Combine like terms: 0 + 41 = 41 6x = 41 Divide each side by '6'. x = 6.833333333 Simplifying x = 6.833333333
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