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Simplifying 3(x + 5) + -6(3x + 7) = 0 Reorder the terms: 3(5 + x) + -6(3x + 7) = 0 (5 * 3 + x * 3) + -6(3x + 7) = 0 (15 + 3x) + -6(3x + 7) = 0 Reorder the terms: 15 + 3x + -6(7 + 3x) = 0 15 + 3x + (7 * -6 + 3x * -6) = 0 15 + 3x + (-42 + -18x) = 0 Reorder the terms: 15 + -42 + 3x + -18x = 0 Combine like terms: 15 + -42 = -27 -27 + 3x + -18x = 0 Combine like terms: 3x + -18x = -15x -27 + -15x = 0 Solving -27 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -15x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -15x = 0 + 27 -15x = 0 + 27 Combine like terms: 0 + 27 = 27 -15x = 27 Divide each side by '-15'. x = -1.8 Simplifying x = -1.8
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