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Simplifying 3(x + 3) + -4(2x + -7) = 0 Reorder the terms: 3(3 + x) + -4(2x + -7) = 0 (3 * 3 + x * 3) + -4(2x + -7) = 0 (9 + 3x) + -4(2x + -7) = 0 Reorder the terms: 9 + 3x + -4(-7 + 2x) = 0 9 + 3x + (-7 * -4 + 2x * -4) = 0 9 + 3x + (28 + -8x) = 0 Reorder the terms: 9 + 28 + 3x + -8x = 0 Combine like terms: 9 + 28 = 37 37 + 3x + -8x = 0 Combine like terms: 3x + -8x = -5x 37 + -5x = 0 Solving 37 + -5x = 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 + -5x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -5x = 0 + -37 -5x = 0 + -37 Combine like terms: 0 + -37 = -37 -5x = -37 Divide each side by '-5'. x = 7.4 Simplifying x = 7.4
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