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Simplifying (3x + -6)(7 + -2) + -22 + -7 + 3x(8 + -3) = 0 Reorder the terms: (-6 + 3x)(7 + -2) + -22 + -7 + 3x(8 + -3) = 0 Combine like terms: 7 + -2 = 5 (-6 + 3x)(5) + -22 + -7 + 3x(8 + -3) = 0 Reorder the terms for easier multiplication: 5(-6 + 3x) + -22 + -7 + 3x(8 + -3) = 0 (-6 * 5 + 3x * 5) + -22 + -7 + 3x(8 + -3) = 0 (-30 + 15x) + -22 + -7 + 3x(8 + -3) = 0 Combine like terms: 8 + -3 = 5 -30 + 15x + -22 + -7 + 3x(5) = 0 Reorder the terms for easier multiplication: -30 + 15x + -22 + -7 + 3 * 5x = 0 Multiply 3 * 5 -30 + 15x + -22 + -7 + 15x = 0 Reorder the terms: -30 + -22 + -7 + 15x + 15x = 0 Combine like terms: -30 + -22 = -52 -52 + -7 + 15x + 15x = 0 Combine like terms: -52 + -7 = -59 -59 + 15x + 15x = 0 Combine like terms: 15x + 15x = 30x -59 + 30x = 0 Solving -59 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 30x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 30x = 0 + 59 30x = 0 + 59 Combine like terms: 0 + 59 = 59 30x = 59 Divide each side by '30'. x = 1.966666667 Simplifying x = 1.966666667
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