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Simplifying (3x + -6)(7 + -2) + -2x + -7 + 3x(8 + -3) = 0 Reorder the terms: (-6 + 3x)(7 + -2) + -2x + -7 + 3x(8 + -3) = 0 Combine like terms: 7 + -2 = 5 (-6 + 3x)(5) + -2x + -7 + 3x(8 + -3) = 0 Reorder the terms for easier multiplication: 5(-6 + 3x) + -2x + -7 + 3x(8 + -3) = 0 (-6 * 5 + 3x * 5) + -2x + -7 + 3x(8 + -3) = 0 (-30 + 15x) + -2x + -7 + 3x(8 + -3) = 0 Combine like terms: 8 + -3 = 5 -30 + 15x + -2x + -7 + 3x(5) = 0 Reorder the terms for easier multiplication: -30 + 15x + -2x + -7 + 3 * 5x = 0 Multiply 3 * 5 -30 + 15x + -2x + -7 + 15x = 0 Reorder the terms: -30 + -7 + 15x + -2x + 15x = 0 Combine like terms: -30 + -7 = -37 -37 + 15x + -2x + 15x = 0 Combine like terms: 15x + -2x = 13x -37 + 13x + 15x = 0 Combine like terms: 13x + 15x = 28x -37 + 28x = 0 Solving -37 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 28x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 28x = 0 + 37 28x = 0 + 37 Combine like terms: 0 + 37 = 37 28x = 37 Divide each side by '28'. x = 1.321428571 Simplifying x = 1.321428571
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